112968513600000 has 960 divisors, whose sum is σ = 397796733379584. Its totient is φ = 28440576000000.

The previous prime is 112968513599989. The next prime is 112968513600017. The reversal of 112968513600000 is 6315869211.

It is a tau number, because it is divible by the number of its divisors (960).

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, 6100790742 + ... + 6100809258.

Almost surely, 2^{112968513600000} is an apocalyptic number.

112968513600000 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 112968513600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198898366689792).

112968513600000 is an abundant number, since it is smaller than the sum of its proper divisors (284828219779584).

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

112968513600000 is an frugal number, since it uses more digits than its factorization.

112968513600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18635 (or 18599 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 112968513600000 in words is "one hundred twelve trillion, nine hundred sixty-eight billion, five hundred thirteen million, six hundred thousand".