112972204800 has 972 divisors, whose sum is σ = 506150364720. Its totient is φ = 23828152320.

The previous prime is 112972204771. The next prime is 112972204817. The reversal of 112972204800 is 8402279211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36689661 + ... + 36692739.

Almost surely, 2^112972204800 is an apocalyptic number.

112972204800 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 112972204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253075182360).

112972204800 is an abundant number, since it is smaller than the sum of its proper divisors (393178159920).

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

112972204800 is a wasteful number, since it uses less digits than its factorization.

112972204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 112972204800 in words is "one hundred twelve billion, nine hundred seventy-two million, two hundred four thousand, eight hundred".