112044800 has 216 divisors, whose sum is σ = 329999712. Its totient is φ = 36864000.

The previous prime is 112044791. The next prime is 112044817. The reversal of 112044800 is 8440211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836770 + ... + 1836830.

Almost surely, 2^112044800 is an apocalyptic number.

112044800 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 112044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164999856).

112044800 is an abundant number, since it is smaller than the sum of its proper divisors (217954912).

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

112044800 is an equidigital number, since it uses as much as digits as its factorization.

112044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 112044800 is about 10585.1216336894. The cubic root of 112044800 is about 482.0927147279.

The spelling of 112044800 in words is "one hundred twelve million, forty-four thousand, eight hundred".