112006644505200 has 180 divisors, whose sum is σ = 389146676256520. Its totient is φ = 29833666536960.

The previous prime is 112006644505127. The next prime is 112006644505289. The reversal of 112006644505200 is 2505446600211.

112006644505200 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 6 + 6 + 445 + 0 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 15017587 + ... + 21202386.

Almost surely, 2^{112006644505200} is an apocalyptic number.

112006644505200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112006644505200 is an abundant number, since it is smaller than the sum of its proper divisors (277140031751320).

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

112006644505200 is a wasteful number, since it uses less digits than its factorization.

112006644505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36220856 (or 36220842 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 112006644505200 in words is "one hundred twelve trillion, six billion, six hundred forty-four million, five hundred five thousand, two hundred".