112510032800 has 144 divisors (see below), whose sum is σ = 301476766752. Its totient is φ = 40661222400.

The previous prime is 112510032799. The next prime is 112510032809. The reversal of 112510032800 is 8230015211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112510032809) 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, 1395182 + ... + 1473618.

It is an arithmetic number, because the mean of its divisors is an integer number (2093588658).

Almost surely, 2^112510032800 is an apocalyptic number.

112510032800 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 112510032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150738383376).

112510032800 is an abundant number, since it is smaller than the sum of its proper divisors (188966733952).

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

112510032800 is a wasteful number, since it uses less digits than its factorization.

112510032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78631 (or 78618 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The spelling of 112510032800 in words is "one hundred twelve billion, five hundred ten million, thirty-two thousand, eight hundred".