112492800 has 540 divisors, whose sum is σ = 490690816. Its totient is φ = 24883200.

The previous prime is 112492753. The next prime is 112492811. The reversal of 112492800 is 8294211.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 3628785 + ... + 3628815.

Almost surely, 2^112492800 is an apocalyptic number.

112492800 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 112492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245345408).

112492800 is an abundant number, since it is smaller than the sum of its proper divisors (378198016).

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

112492800 is an equidigital number, since it uses as much as digits as its factorization.

112492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 112492800 is about 10606.2623011125. The cubic root of 112492800 is about 482.7343935297.

The spelling of 112492800 in words is "one hundred twelve million, four hundred ninety-two thousand, eight hundred".