112478800 has 180 divisors, whose sum is σ = 330430240. Its totient is φ = 36034560.

The previous prime is 112478789. The next prime is 112478801. The reversal of 112478800 is 8874211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112478801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 809131 + ... + 809269.

Almost surely, 2^112478800 is an apocalyptic number.

112478800 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 112478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165215120).

112478800 is an abundant number, since it is smaller than the sum of its proper divisors (217951440).

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

112478800 is a wasteful number, since it uses less digits than its factorization.

112478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 112478800 is about 10605.6022931279. The cubic root of 112478800 is about 482.7143668794.

The spelling of 112478800 in words is "one hundred twelve million, four hundred seventy-eight thousand, eight hundred".