12157179052032 has 720 divisors, whose sum is σ = 41873017455360. Its totient is φ = 3452657467392.

The previous prime is 12157179051961. The next prime is 12157179052063. The reversal of 12157179052032 is 23025097175121.

12157179052032 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 7 + 1 + 7 + 90 + 520 + 32 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4988582718 + ... + 4988585154.

It is an arithmetic number, because the mean of its divisors is an integer number (58156968688).

Almost surely, 2^{12157179052032} is an apocalyptic number.

12157179052032 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 12157179052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936508727680).

12157179052032 is an abundant number, since it is smaller than the sum of its proper divisors (29715838403328).

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

12157179052032 is an frugal number, since it uses more digits than its factorization.

12157179052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 12157179052032 in words is "twelve trillion, one hundred fifty-seven billion, one hundred seventy-nine million, fifty-two thousand, thirty-two".