112710796800 has 960 divisors, whose sum is σ = 463973875200. Its totient is φ = 23533977600.

The previous prime is 112710796799. The next prime is 112710796801. The reversal of 112710796800 is 8697017211.

It is an interprime number because it is at equal distance from previous prime (112710796799) and next prime (112710796801).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112710796801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148108420 + ... + 148109180.

It is an arithmetic number, because the mean of its divisors is an integer number (483306120).

Almost surely, 2^112710796800 is an apocalyptic number.

112710796800 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 112710796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231986937600).

112710796800 is an abundant number, since it is smaller than the sum of its proper divisors (351263078400).

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

112710796800 is a wasteful number, since it uses less digits than its factorization.

112710796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 112710796800 in words is "one hundred twelve billion, seven hundred ten million, seven hundred ninety-six thousand, eight hundred".