112375200 has 144 divisors (see below), whose sum is σ = 418098240. Its totient is φ = 25681920.

The previous prime is 112375183. The next prime is 112375213. The reversal of 112375200 is 2573211.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 13456 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (2903460).

Almost surely, 2^112375200 is an apocalyptic number.

112375200 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 112375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209049120).

112375200 is an abundant number, since it is smaller than the sum of its proper divisors (305723040).

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

112375200 is a wasteful number, since it uses less digits than its factorization.

112375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 112375200 is about 10600.7169568855. The cubic root of 112375200 is about 482.5661179942.

It can be divided in two parts, 112375 and 200, that added together give a triangular number (112575 = T₄₇₄).

The spelling of 112375200 in words is "one hundred twelve million, three hundred seventy-five thousand, two hundred".