112688800 has 72 divisors (see below), whose sum is σ = 314417376. Its totient is φ = 38634240.

The previous prime is 112688789. The next prime is 112688803. The reversal of 112688800 is 8886211.

It is not an unprimeable number, because it can be changed into a prime (112688803) 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, 4462 + ... + 15661.

It is an arithmetic number, because the mean of its divisors is an integer number (4366908).

Almost surely, 2^112688800 is an apocalyptic number.

112688800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112688800 is an abundant number, since it is smaller than the sum of its proper divisors (201728576).

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

112688800 is a wasteful number, since it uses less digits than its factorization.

112688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20150 (or 20137 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 112688800 is about 10615.4981041871. The cubic root of 112688800 is about 483.0145923318.

The spelling of 112688800 in words is "one hundred twelve million, six hundred eighty-eight thousand, eight hundred".