112251800 has 48 divisors (see below), whose sum is σ = 264912360. Its totient is φ = 44225280.

The previous prime is 112251793. The next prime is 112251857. The reversal of 112251800 is 8152211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 9212 + ... + 17588.

Almost surely, 2^112251800 is an apocalyptic number.

112251800 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 112251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132456180).

112251800 is an abundant number, since it is smaller than the sum of its proper divisors (152660560).

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

112251800 is a wasteful number, since it uses less digits than its factorization.

112251800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8451 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 112251800 is about 10594.8949971201. The cubic root of 112251800 is about 482.3894168798.

The spelling of 112251800 in words is "one hundred twelve million, two hundred fifty-one thousand, eight hundred".