112112152202000 has 80 divisors (see below), whose sum is σ = 271090024066992. Its totient is φ = 44844391065600.

The previous prime is 112112152201991. The next prime is 112112152202003. The reversal of 112112152202000 is 202251211211.

It can be written as a sum of positive squares in 8 ways, for example, as 7109667628816 + 105002484573184 = 2666396^2 + 10247072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (112112152202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239672342 + ... + 240139658.

Almost surely, 2^{112112152202000} is an apocalyptic number.

112112152202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112152202000 is an abundant number, since it is smaller than the sum of its proper divisors (158977871864992).

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

112112152202000 is a wasteful number, since it uses less digits than its factorization.

112112152202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587293 (or 587277 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The spelling of 112112152202000 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred fifty-two million, two hundred two thousand".