12157465320 has 576 divisors, whose sum is σ = 53470085760. Its totient is φ = 2331141120.

The previous prime is 12157465319. The next prime is 12157465337. The reversal of 12157465320 is 2356475121.

12157465320 is a `hidden beast` number, since 1 + 2 + 1 + 574 + 65 + 3 + 20 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3962427 + ... + 3965493.

It is an arithmetic number, because the mean of its divisors is an integer number (92830010).

Almost surely, 2^12157465320 is an apocalyptic number.

12157465320 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 12157465320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26735042880).

12157465320 is an abundant number, since it is smaller than the sum of its proper divisors (41312620440).

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

12157465320 is a wasteful number, since it uses less digits than its factorization.

12157465320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12157465320 in words is "twelve billion, one hundred fifty-seven million, four hundred sixty-five thousand, three hundred twenty".