112232800 has 72 divisors (see below), whose sum is σ = 279263376. Its totient is φ = 44029440.

The previous prime is 112232797. The next prime is 112232807. The reversal of 112232800 is 8232211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112232807) 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, 41077 + ... + 43723.

It is an arithmetic number, because the mean of its divisors is an integer number (3878658).

Almost surely, 2^112232800 is an apocalyptic number.

112232800 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 112232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139631688).

112232800 is an abundant number, since it is smaller than the sum of its proper divisors (167030576).

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

112232800 is a wasteful number, since it uses less digits than its factorization.

112232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 112232800 is about 10593.9983009249. The cubic root of 112232800 is about 482.3621985602.

The spelling of 112232800 in words is "one hundred twelve million, two hundred thirty-two thousand, eight hundred".