112861900800 has 780 divisors, whose sum is σ = 456442295496. Its totient is φ = 27338342400.

The previous prime is 112861900799. The next prime is 112861900859. The reversal of 112861900800 is 8009168211.

112861900800 is a `hidden beast` number, since 11 + 28 + 619 + 0 + 0 + 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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91237782 + ... + 91239018.

Almost surely, 2^112861900800 is an apocalyptic number.

112861900800 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 112861900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228221147748).

112861900800 is an abundant number, since it is smaller than the sum of its proper divisors (343580394696).

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

112861900800 is a wasteful number, since it uses less digits than its factorization.

112861900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 112861900800 in words is "one hundred twelve billion, eight hundred sixty-one million, nine hundred thousand, eight hundred".