12157430437152 has 3240 divisors, whose sum is σ = 51439539545856. Its totient is φ = 2802159360000.

The previous prime is 12157430437123. The next prime is 12157430437193. The reversal of 12157430437152 is 25173403475121.

12157430437152 is a `hidden beast` number, since 1 + 2 + 1 + 574 + 3 + 0 + 4 + 3 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×12157430437152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12157430437098 and 12157430437107.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 80512784277 + ... + 80512784427.

Almost surely, 2^{12157430437152} is an apocalyptic number.

12157430437152 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 12157430437152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719769772928).

12157430437152 is an abundant number, since it is smaller than the sum of its proper divisors (39282109108704).

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

12157430437152 is a wasteful number, since it uses less digits than its factorization.

12157430437152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 12157430437152 in words is "twelve trillion, one hundred fifty-seven billion, four hundred thirty million, four hundred thirty-seven thousand, one hundred fifty-two".