112417800 has 96 divisors (see below), whose sum is σ = 380198880. Its totient is φ = 27251200.

The previous prime is 112417783. The next prime is 112417801. The reversal of 112417800 is 8714211.

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

It is not an unprimeable number, because it can be changed into a prime (112417801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917 + ... + 15116.

It is an arithmetic number, because the mean of its divisors is an integer number (3960405).

Almost surely, 2^112417800 is an apocalyptic number.

112417800 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 112417800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190099440).

112417800 is an abundant number, since it is smaller than the sum of its proper divisors (267781080).

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

112417800 is a wasteful number, since it uses less digits than its factorization.

112417800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17063 (or 17054 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 112417800 is about 10602.7260645553. The cubic root of 112417800 is about 482.6270885034.

The spelling of 112417800 in words is "one hundred twelve million, four hundred seventeen thousand, eight hundred".