112235658128172 has 288 divisors, whose sum is σ = 315383507712000. Its totient is φ = 33535712770560.

The previous prime is 112235658128141. The next prime is 112235658128173. The reversal of 112235658128172 is 271821856532211.

112235658128172 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 56 + 581 + 2 + 8 + 1 + 7 + 2 = 666.

It is a super-3 number, since 3×112235658128172³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112235658128173) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111418522 + ... + 112421342.

It is an arithmetic number, because the mean of its divisors is an integer number (1095081624000).

Almost surely, 2^{112235658128172} is an apocalyptic number.

112235658128172 is a gapful number since it is divisible by the number (12) 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 112235658128172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157691753856000).

112235658128172 is an abundant number, since it is smaller than the sum of its proper divisors (203147849583828).

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

112235658128172 is a wasteful number, since it uses less digits than its factorization.

112235658128172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003021 (or 1003016 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 112235658128172 in words is "one hundred twelve trillion, two hundred thirty-five billion, six hundred fifty-eight million, one hundred twenty-eight thousand, one hundred seventy-two".