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12312012 = 2231760353
BaseRepresentation
bin101110111101…
…110111001100
3212011111220110
4232331313030
511122441022
61115520020
7206436036
oct56756714
925144813
1012312012
116a4a219
124159010
13272101b
1418c6c56
15113300c
hexbbddcc

12312012 has 24 divisors (see below), whose sum is σ = 30418416. Its totient is φ = 3862528.

The previous prime is 12312011. The next prime is 12312017. The reversal of 12312012 is 21021321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12312011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29973 + ... + 30380.

It is an arithmetic number, because the mean of its divisors is an integer number (1267434).

Almost surely, 212312012 is an apocalyptic number.

12312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12312012 is an abundant number, since it is smaller than the sum of its proper divisors (18106404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12312012 is a wasteful number, since it uses less digits than its factorization.

12312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60377 (or 60375 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12312012 is about 3508.8476740947. The cubic root of 12312012 is about 230.9101428961.

Adding to 12312012 its reverse (21021321), we get a palindrome (33333333).

The spelling of 12312012 in words is "twelve million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 60353 120706 181059 241412 362118 724236 1026001 2052002 3078003 4104004 6156006 12312012