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12231564372 = 2232353962509
BaseRepresentation
bin10110110010000111…
…01101110001010100
31011120102211211221200
423121003231301110
5200022240024442
65341420512500
7612052403346
oct133103556124
934512754850
1012231564372
115207443395
1224543ab730
1311cc120b71
14840699296
154b8c6234c
hex2d90edc54

12231564372 has 36 divisors (see below), whose sum is σ = 31006297140. Its totient is φ = 4065633792.

The previous prime is 12231564353. The next prime is 12231564439. The reversal of 12231564372 is 27346513221.

12231564372 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 5 + 643 + 7 + 2 = 666.

12231564372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8442669456 + 3788894916 = 91884^2 + 61554^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122315643722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468547 + ... + 493962.

Almost surely, 212231564372 is an apocalyptic number.

12231564372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12231564372 is an abundant number, since it is smaller than the sum of its proper divisors (18774732768).

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

12231564372 is a wasteful number, since it uses less digits than its factorization.

12231564372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962872 (or 962867 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 12231564372 in words is "twelve billion, two hundred thirty-one million, five hundred sixty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 353 706 1059 1412 2118 3177 4236 6354 12708 962509 1925018 2887527 3850036 5775054 8662581 11550108 17325162 34650324 339765677 679531354 1019297031 1359062708 2038594062 3057891093 4077188124 6115782186 12231564372