112442800 has 60 divisors (see below), whose sum is σ = 275937696. Its totient is φ = 44012800.

The previous prime is 112442789. The next prime is 112442809. The reversal of 112442800 is 8244211.

It is not an unprimeable number, because it can be changed into a prime (112442809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15810 + ... + 21790.

Almost surely, 2^112442800 is an apocalyptic number.

112442800 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 112442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137968848).

112442800 is an abundant number, since it is smaller than the sum of its proper divisors (163494896).

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

112442800 is a wasteful number, since it uses less digits than its factorization.

112442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 112442800 is about 10603.9049411054. The cubic root of 112442800 is about 482.6628621469.

The spelling of 112442800 in words is "one hundred twelve million, four hundred forty-two thousand, eight hundred".