112225179024 has 480 divisors, whose sum is σ = 387748218240. Its totient is φ = 30969050112.

The previous prime is 112225178999. The next prime is 112225179047. The reversal of 112225179024 is 420971522211.

It is a happy number.

112225179024 is a `hidden beast` number, since 1 + 12 + 22 + 517 + 90 + 24 = 666.

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 112225179024.

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 95 ways as a sum of consecutive naturals, for example, 75166822 + ... + 75168314.

It is an arithmetic number, because the mean of its divisors is an integer number (807808788).

Almost surely, 2^112225179024 is an apocalyptic number.

112225179024 is a gapful number since it is divisible by the number (14) 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 112225179024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193874109120).

112225179024 is an abundant number, since it is smaller than the sum of its proper divisors (275523039216).

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

112225179024 is a wasteful number, since it uses less digits than its factorization.

112225179024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 112225179024 in words is "one hundred twelve billion, two hundred twenty-five million, one hundred seventy-nine thousand, twenty-four".