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12031012332 = 22323182313099
BaseRepresentation
bin10110011010001101…
…01010110111101100
31011001110110202021100
423031012222313230
5144114414343312
65305454203100
7604065626463
oct131506526754
934043422240
1012031012332
1151142136a9
1223b91b3490
131199702511
14821bb19da
154a63495dc
hex2cd1aadec

12031012332 has 72 divisors (see below), whose sum is σ = 31433292800. Its totient is φ = 3875960160.

The previous prime is 12031012327. The next prime is 12031012337. The reversal of 12031012332 is 23321013021.

12031012332 is a `hidden beast` number, since 1 + 20 + 310 + 1 + 2 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (12031012327) and next prime (12031012337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12031012337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911919 + ... + 925017.

Almost surely, 212031012332 is an apocalyptic number.

12031012332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716646400).

12031012332 is an abundant number, since it is smaller than the sum of its proper divisors (19402280468).

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

12031012332 is a wasteful number, since it uses less digits than its factorization.

12031012332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13963 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12031012332 its reverse (23321013021), we get a palindrome (35352025353).

The spelling of 12031012332 in words is "twelve billion, thirty-one million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 823 1116 1646 2469 3292 4938 7407 9876 13099 14814 25513 26198 29628 39297 51026 52396 76539 78594 102052 117891 153078 157188 229617 235782 306156 406069 459234 471564 812138 918468 1218207 1624276 2436414 3654621 4872828 7309242 10780477 14618484 21560954 32341431 43121908 64682862 97024293 129365724 194048586 334194787 388097172 668389574 1002584361 1336779148 2005168722 3007753083 4010337444 6015506166 12031012332