112246800 has 120 divisors (see below), whose sum is σ = 363949920. Its totient is φ = 29568000.

The previous prime is 112246781. The next prime is 112246819. The reversal of 112246800 is 8642211.

It is an interprime number because it is at equal distance from previous prime (112246781) and next prime (112246819).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×112246800² = 25198688220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106275 + ... + 107325.

It is an arithmetic number, because the mean of its divisors is an integer number (3032916).

Almost surely, 2^112246800 is an apocalyptic number.

112246800 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 112246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181974960).

112246800 is an abundant number, since it is smaller than the sum of its proper divisors (251703120).

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

112246800 is a wasteful number, since it uses less digits than its factorization.

112246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 112246800 is about 10594.6590317952. The cubic root of 112246800 is about 482.3822544619.

The spelling of 112246800 in words is "one hundred twelve million, two hundred forty-six thousand, eight hundred".