112991500800 has 420 divisors, whose sum is σ = 419760561990. Its totient is φ = 30128578560.

The previous prime is 112991500747. The next prime is 112991500847. The reversal of 112991500800 is 8005199211.

It can be written as a sum of positive squares in 3 ways, for example, as 109788846336 + 3202654464 = 331344^2 + 56592^2 .

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 41 ways as a sum of consecutive naturals, for example, 9325146 + ... + 9337254.

Almost surely, 2^112991500800 is an apocalyptic number.

112991500800 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 112991500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209880280995).

112991500800 is an abundant number, since it is smaller than the sum of its proper divisors (306769061190).

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

112991500800 is an frugal number, since it uses more digits than its factorization.

112991500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 112991500800 in words is "one hundred twelve billion, nine hundred ninety-one million, five hundred thousand, eight hundred".