112865070600 has 768 divisors, whose sum is σ = 426572697600. Its totient is φ = 27316224000.

The previous prime is 112865070589. The next prime is 112865070601. The reversal of 112865070600 is 6070568211.

112865070600 is a `hidden beast` number, since 1 + 12 + 86 + 507 + 0 + 60 + 0 = 666.

112865070600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (112865070601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 590916505 + ... + 590916695.

It is an arithmetic number, because the mean of its divisors is an integer number (555433200).

Almost surely, 2^112865070600 is an apocalyptic number.

112865070600 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 112865070600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213286348800).

112865070600 is an abundant number, since it is smaller than the sum of its proper divisors (313707627000).

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

112865070600 is a wasteful number, since it uses less digits than its factorization.

112865070600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 112865070600 in words is "one hundred twelve billion, eight hundred sixty-five million, seventy thousand, six hundred".