112001021000800 has 72 divisors (see below), whose sum is σ = 273424099550112. Its totient is φ = 44800145088000.

The previous prime is 112001021000777. The next prime is 112001021000801. The reversal of 112001021000800 is 8000120100211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001021000801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191981545 + ... + 192564055.

It is an arithmetic number, because the mean of its divisors is an integer number (3797556938196).

Almost surely, 2^{112001021000800} is an apocalyptic number.

112001021000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001021000800 is an abundant number, since it is smaller than the sum of its proper divisors (161423078549312).

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

112001021000800 is a wasteful number, since it uses less digits than its factorization.

112001021000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822872 (or 822859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 112001021000800 in words is "one hundred twelve trillion, one billion, twenty-one million, eight hundred", and thus it is an aban number.