112131056160 has 384 divisors, whose sum is σ = 416311176960. Its totient is φ = 28090810368.

The previous prime is 112131056137. The next prime is 112131056179. The reversal of 112131056160 is 61650131211.

112131056160 is a `hidden beast` number, since 1 + 12 + 1 + 31 + 0 + 5 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53830479 + ... + 53832561.

It is an arithmetic number, because the mean of its divisors is an integer number (1084143690).

Almost surely, 2^112131056160 is an apocalyptic number.

112131056160 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 112131056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208155588480).

112131056160 is an abundant number, since it is smaller than the sum of its proper divisors (304180120800).

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

112131056160 is a wasteful number, since it uses less digits than its factorization.

112131056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 112131056160 its reverse (61650131211), we get a palindrome (173781187371).

The spelling of 112131056160 in words is "one hundred twelve billion, one hundred thirty-one million, fifty-six thousand, one hundred sixty".