112313217024 has 312 divisors, whose sum is σ = 338437048560. Its totient is φ = 35853041664.

The previous prime is 112313217007. The next prime is 112313217043. The reversal of 112313217024 is 420712313211.

112313217024 is a `hidden beast` number, since 112 + 313 + 217 + 0 + 24 = 666.

It is a super-2 number, since 2×112313217024² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91385242 + ... + 91386470.

It is an arithmetic number, because the mean of its divisors is an integer number (1084734130).

Almost surely, 2^112313217024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112313217024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169218524280).

112313217024 is an abundant number, since it is smaller than the sum of its proper divisors (226123831536).

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

112313217024 is a wasteful number, since it uses less digits than its factorization.

112313217024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 112313217024 in words is "one hundred twelve billion, three hundred thirteen million, two hundred seventeen thousand, twenty-four".