112253200 has 60 divisors (see below), whose sum is σ = 279016740. Its totient is φ = 43348480.

The previous prime is 112253149. The next prime is 112253213. The reversal of 112253200 is 2352211.

It can be written as a sum of positive squares in 6 ways, for example, as 147456 + 112105744 = 384^2 + 10588^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6762 + ... + 16438.

It is an arithmetic number, because the mean of its divisors is an integer number (4650279).

Almost surely, 2^112253200 is an apocalyptic number.

112253200 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 112253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139508370).

112253200 is an abundant number, since it is smaller than the sum of its proper divisors (166763540).

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

112253200 is a wasteful number, since it uses less digits than its factorization.

112253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 112253200 is about 10594.9610664693. The cubic root of 112253200 is about 482.3914223187.

The spelling of 112253200 in words is "one hundred twelve million, two hundred fifty-three thousand, two hundred".