112204800 has 198 divisors, whose sum is σ = 402571208. Its totient is φ = 29859840.

The previous prime is 112204769. The next prime is 112204817. The reversal of 112204800 is 8402211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230157 + ... + 230643.

Almost surely, 2^112204800 is an apocalyptic number.

112204800 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 112204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201285604).

112204800 is an abundant number, since it is smaller than the sum of its proper divisors (290366408).

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

112204800 is a wasteful number, since it uses less digits than its factorization.

112204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 112204800 is about 10592.6767155427. The cubic root of 112204800 is about 482.3220817528.

The spelling of 112204800 in words is "one hundred twelve million, two hundred four thousand, eight hundred".