The Chronicles of Local Space

A fictional exploration of nearby star systems

Names for Numbers in Base Twelve

This page describes a hypothetical number-naming system for aliens that use base twelve, based on the English names for numbers in base ten. The numbers from one to twelve are combined in various ways to count to 143 (12×12 − 1). 144 (12×12) is represented as Gross, which serves as an additional root to count to 1727 (12×12×12 − 1).

In the following table, the digit ten is represented by X (roman numeral for ten), and elev (eleven) is represented by E (first letter of the word eleven).

The root numbers are:

Number
Base 10
Number
Base 12
Name of number   Number
Base 10
Number
Base 12
Name of number   Number
Base 10
Number
Base 12
Name of number
1 112One 12 1012Twelve 14410012Gross
2 212Two 24 2012Twotwelves 28820012Twogrosses
3 312Three 36 3012Threetwelves 43230012Threegrosses
4 412Four 48 4012Fourtwelves 57640012Fourgrosses
5 512Five 60 5012Fivetwelves 72050012Fivegrosses
6 612Six 72 6012Sixtwelves 86460012Sixgrosses
7 712Seven 84 7012Seventwelves 100870012Sevengrosses
8 812Eight 96 8012Eighttwelves 115280012Eightgrosses
9 912Nine 108 9012Ninetwelves 129690012Ninegrosses
10 X12Ten 120 X012Tentwelves 1440X0012Tengrosses
11 E12Elev 132 E012Elevtwelves 1584E0012Elevgrosses

In the above table, all root numbers are made by combining the name for the number from two to eleven to the number part, which is “twelve” for twelve times the base number, and “gross” for 144 times the base number.

Eleven is shortened to Elev because eleven sounds too similar to seven.

The roots ending with “twelve” and “gross” take the suffix “and” when combined with a following number. For example, 27 (2312) is called “twotwelves-and-three. The use of this linking root makes it easier to tell the difference between one number and a sequence of numbers. For example, 314 (22212) is Twogrosses-and-Twotwelves-and-Two, but the sequence of numbers 288 (20012), 24 (2012), 2 (212) is Twogrosses, Twotwelves, Two. For similar reasons, multiples of the base number are expressed in the plural rather than the singular because the plural makes it easier to distinguish between single numbers and pairs of numbers. Compare twotwelves (24 = 2012) and two, twelve (2 = 212 and 12 = 1012).

The following table has some more example numbers.

Number
Base 10
Number
Base 12
Name of number
13 1112 Twelve-and-One
88 7412 Seventwelves-and-Four
100 8412 Eighttwelves-and-Four
145 10112 Gross-and-One
156 11012 Gross-and-Twelve
157 11112 Gross-and-Twelve-and-One
583 40712 Fourgrosses-and-Seven
1000 6X412 Sixgrosses-and-Tentwelves-and-Four
1727 EEE12 Elevgrosses-and-Elevtwelves-and-Elev
Powers of 12
Power Base 12 Base 10
120 112 1
121 1012 12
122 10012 144
123 100012 1,728
124 1000012 20,736
125 10000012 248,832
126 100000012 2,985,984
127 1000000012 35,831,808
128 10000000012 429,981,696
129 100000000012 5,159,780,352
1210 1000000000012 61,917,364,224
1211 10000000000012 743,008,370,688
1212 100000000000012 8,916,100,448,256

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