12117157056 has 168 divisors, whose sum is σ = 35697261600. Its totient is φ = 3927429120.

The previous prime is 12117157051. The next prime is 12117157079. The reversal of 12117157056 is 65075171121.

It is a happy number.

12117157056 is a `hidden beast` number, since 1 + 2 + 11 + 71 + 570 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12117157056.

It is not an unprimeable number, because it can be changed into a prime (12117157051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9185965 + ... + 9187283.

It is an arithmetic number, because the mean of its divisors is an integer number (212483700).

Almost surely, 2^12117157056 is an apocalyptic number.

12117157056 is a gapful number since it is divisible by the number (16) 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 12117157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848630800).

12117157056 is an abundant number, since it is smaller than the sum of its proper divisors (23580104544).

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

12117157056 is a wasteful number, since it uses less digits than its factorization.

12117157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

The spelling of 12117157056 in words is "twelve billion, one hundred seventeen million, one hundred fifty-seven thousand, fifty-six".