112630056000 has 896 divisors, whose sum is σ = 471988408320. Its totient is φ = 22984704000.

The previous prime is 112630055981. The next prime is 112630056013. The reversal of 112630056000 is 650036211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109031484 + ... + 109032516.

Almost surely, 2^112630056000 is an apocalyptic number.

112630056000 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 112630056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235994204160).

112630056000 is an abundant number, since it is smaller than the sum of its proper divisors (359358352320).

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

112630056000 is a wasteful number, since it uses less digits than its factorization.

112630056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 112630056000 in words is "one hundred twelve billion, six hundred thirty million, fifty-six thousand".