112111261390800 has 1440 divisors, whose sum is σ = 477670514630400. Its totient is φ = 24707285729280.

The previous prime is 112111261390781. The next prime is 112111261390907. The reversal of 112111261390800 is 8093162111211.

112111261390800 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 1 + 261 + 390 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15726081636 + ... + 15726088764.

It is an arithmetic number, because the mean of its divisors is an integer number (331715635160).

Almost surely, 2^{112111261390800} is an apocalyptic number.

112111261390800 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 112111261390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238835257315200).

112111261390800 is an abundant number, since it is smaller than the sum of its proper divisors (365559253239600).

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

112111261390800 is a wasteful number, since it uses less digits than its factorization.

112111261390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 112111261390800 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred sixty-one million, three hundred ninety thousand, eight hundred".