About the Number 12 (twelve)

MathBabbler noticed that there were nBABs (number BABs) for zero through eleven and thirteen; therefore this nBAB about the number twelve was created to fill the gap.

Observe... this nBAB was created on November 13th, which is 11/13. The average of 11 and 13 is 12.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   12 is a natural, whole, integer
   12 is even
   12 proper divisors are: 1,2,3,4,6,
   12 is abundant (sum of divisors is 16)
   12 is unhappy
   12 is a Harshad number
   12 is not prime
   12 is undulating
   12 has the prime factors: 2*2*3
   12 in octal is 014
   12 in hexadecimal is 0xc
   12 in binary is 1100 (is evil)
   12 nearest square numbers: -3...4 (9...16 [4])
   sqrt(12) = 3.4641
   ln(12) = 2.48491
   log(12) = 1.07918
   12 reciprocal is .08333333333333333333333333333333
   12! is 4.79002e+08
   12 is 3.81972 Pi years
   12 is 0 score and 12 years

12 written as a Roman numeral is XII.

A unit of 12 is often called a dozen.

A day is split into two 12 parts (a.m. and p.m.).

12 = sqrt(144)

The Wikipedia says 12 is a highly composite number (a positive integer with more divisors than any smaller positive integer).

The Wikipedia also stated that 12 is a superfactorial (it is a product of the 1st three factorials 1! * 2! * 3! = 1 * 2 * 6 = 12).

Update::2012.12.12 (redone on 2013.05.02)

148 equals 12 and 1212 equals 14. In other words, octal (base-8) 14 equals decimal (base-10) 12 and duodecimal (base-12) 12 equals decimal (base-10) 14.

This nBAB was four years old when this update was made. The MBNA on 12/12/12 produced the following additional information about the number 12.

   12 is refactorable (evenly divisable by # of divisors)
   12 is not a Squarefree Number: 4,
   12 is pentagonal
   12 is pronic (oblong)
   12 is the sum of 2 consecutive primes (5+7)
   12 = 4^2 - 2^2 and 2 * (4 + 2) = 12

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 13 November 2008 (posted 15 November 2008)

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This work is licensed under a Creative Commons Attribution 3.0 United States License.