112014117921024 has 720 divisors, whose sum is σ = 370285673404416. Its totient is φ = 33675345285120.

The previous prime is 112014117921023. The next prime is 112014117921089. The reversal of 112014117921024 is 420129711410211.

112014117921024 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 411 + 7 + 9 + 210 + 24 = 666.

It is a super-2 number, since 2×112014117921024² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112014117921024.

It is not an unprimeable number, because it can be changed into a prime (112014117921023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3505135254 + ... + 3505167210.

Almost surely, 2^{112014117921024} 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 112014117921024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185142836702208).

112014117921024 is an abundant number, since it is smaller than the sum of its proper divisors (258271555483392).

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

112014117921024 is an equidigital number, since it uses as much as digits as its factorization.

112014117921024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32145 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 112014117921024 in words is "one hundred twelve trillion, fourteen billion, one hundred seventeen million, nine hundred twenty-one thousand, twenty-four".