12015529256160 has 1920 divisors, whose sum is σ = 47684609280000. Its totient is φ = 2844684251136.

The previous prime is 12015529256147. The next prime is 12015529256191. The reversal of 12015529256160 is 6165292551021.

12015529256160 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 5 + 5 + 2 + 9 + 25 + 616 + 0 = 666.

12015529256160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 152095307001 + ... + 152095307079.

It is an arithmetic number, because the mean of its divisors is an integer number (24835734000).

Almost surely, 2^{12015529256160} is an apocalyptic number.

12015529256160 is a gapful number since it is divisible by the number (10) 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 12015529256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23842304640000).

12015529256160 is an abundant number, since it is smaller than the sum of its proper divisors (35669080023840).

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

12015529256160 is an equidigital number, since it uses as much as digits as its factorization.

12015529256160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 12015529256160 in words is "twelve trillion, fifteen billion, five hundred twenty-nine million, two hundred fifty-six thousand, one hundred sixty".