12155265868032 has 972 divisors, whose sum is σ = 44482639639620. Its totient is φ = 3179985371136.

The previous prime is 12155265868001. The next prime is 12155265868051. The reversal of 12155265868032 is 23086856255121.

12155265868032 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 5 + 26 + 586 + 8 + 0 + 32 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1791914213376 + 10363351654656 = 1338624^2 + 3219216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12155265868032.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1207191894 + ... + 1207201962.

Almost surely, 2^{12155265868032} is an apocalyptic number.

12155265868032 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 12155265868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22241319819810).

12155265868032 is an abundant number, since it is smaller than the sum of its proper divisors (32327373771588).

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

12155265868032 is a wasteful number, since it uses less digits than its factorization.

12155265868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 12155265868032 in words is "twelve trillion, one hundred fifty-five billion, two hundred sixty-five million, eight hundred sixty-eight thousand, thirty-two".