112112400 has 60 divisors (see below), whose sum is σ = 359137232. Its totient is φ = 29896320.

The previous prime is 112112387. The next prime is 112112417. The reversal of 112112400 is 4211211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45514 + ... + 47913.

Almost surely, 2^112112400 is an apocalyptic number.

112112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112400 is an abundant number, since it is smaller than the sum of its proper divisors (247024832).

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

112112400 is a wasteful number, since it uses less digits than its factorization.

112112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93448 (or 93437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112112400 is about 10588.3143134306. The cubic root of 112112400 is about 482.1896489175.

Adding to 112112400 its reverse (4211211), we get a palindrome (116323611).

The spelling of 112112400 in words is "one hundred twelve million, one hundred twelve thousand, four hundred".