112972358400 has 864 divisors, whose sum is σ = 437971968000. Its totient is φ = 25351372800.

The previous prime is 112972358347. The next prime is 112972358423. The reversal of 112972358400 is 4853279211.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188601301 + ... + 188601899.

It is an arithmetic number, because the mean of its divisors is an integer number (506912000).

Almost surely, 2^112972358400 is an apocalyptic number.

112972358400 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 112972358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218985984000).

112972358400 is an abundant number, since it is smaller than the sum of its proper divisors (324999609600).

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

112972358400 is a wasteful number, since it uses less digits than its factorization.

112972358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 112972358400 in words is "one hundred twelve billion, nine hundred seventy-two million, three hundred fifty-eight thousand, four hundred".