112081960224 has 480 divisors, whose sum is σ = 372656148480. Its totient is φ = 32808499200.

The previous prime is 112081960189. The next prime is 112081960247. The reversal of 112081960224 is 422069180211.

112081960224 is a `hidden beast` number, since 1 + 1 + 20 + 8 + 1 + 9 + 602 + 24 = 666.

112081960224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63718257 + ... + 63720015.

It is an arithmetic number, because the mean of its divisors is an integer number (776366976).

Almost surely, 2^112081960224 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 112081960224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186328074240).

112081960224 is an abundant number, since it is smaller than the sum of its proper divisors (260574188256).

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

112081960224 is a wasteful number, since it uses less digits than its factorization.

112081960224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 112081960224 in words is "one hundred twelve billion, eighty-one million, nine hundred sixty thousand, two hundred twenty-four".