112856000 has 56 divisors (see below), whose sum is σ = 279507696. Its totient is φ = 45139200.

The previous prime is 112855993. The next prime is 112856017. The reversal of 112856000 is 658211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947 + ... + 15053.

Almost surely, 2^112856000 is an apocalyptic number.

112856000 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 112856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139753848).

112856000 is an abundant number, since it is smaller than the sum of its proper divisors (166651696).

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

112856000 is an equidigital number, since it uses as much as digits as its factorization.

112856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14134 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 112856000 is about 10623.3704632758. The cubic root of 112856000 is about 483.2533623800.

The spelling of 112856000 in words is "one hundred twelve million, eight hundred fifty-six thousand".