112313102202000 has 640 divisors, whose sum is σ = 465626731315200. Its totient is φ = 25346602944000.

The previous prime is 112313102201977. The next prime is 112313102202047. The reversal of 112313102202000 is 202201313211.

112313102202000 is a `hidden beast` number, since 1 + 1 + 231 + 3 + 10 + 220 + 200 + 0 = 666.

It is a super-2 number, since 2×112313102202000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27981465 + ... + 31742535.

It is an arithmetic number, because the mean of its divisors is an integer number (727541767680).

Almost surely, 2^{112313102202000} is an apocalyptic number.

112313102202000 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 112313102202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232813365657600).

112313102202000 is an abundant number, since it is smaller than the sum of its proper divisors (353313629113200).

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

112313102202000 is a wasteful number, since it uses less digits than its factorization.

112313102202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761189 (or 3761167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112313102202000 its reverse (202201313211), we get a palindrome (112515303515211).

The spelling of 112313102202000 in words is "one hundred twelve trillion, three hundred thirteen billion, one hundred two million, two hundred two thousand".