112716400 has 30 divisors (see below), whose sum is σ = 270802112. Its totient is φ = 45086400.

The previous prime is 112716397. The next prime is 112716419. The reversal of 112716400 is 4617211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140496 + ... + 141295.

Almost surely, 2^112716400 is an apocalyptic number.

112716400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112716400 is an abundant number, since it is smaller than the sum of its proper divisors (158085712).

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

112716400 is a wasteful number, since it uses less digits than its factorization.

112716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281809 (or 281798 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 112716400 is about 10616.7980106998. The cubic root of 112716400 is about 483.0540227943.

It can be divided in two parts, 11271 and 6400, that added together give a palindrome (17671).

The spelling of 112716400 in words is "one hundred twelve million, seven hundred sixteen thousand, four hundred".