112071730417920 has 1728 divisors, whose sum is σ = 480795567243264. Its totient is φ = 23470453555200.

The previous prime is 112071730417891. The next prime is 112071730417943. The reversal of 112071730417920 is 29714037170211.

112071730417920 is a `hidden beast` number, since 1 + 1 + 207 + 1 + 7 + 3 + 0 + 417 + 9 + 20 = 666.

112071730417920 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97369009345 + ... + 97369010495.

It is an arithmetic number, because the mean of its divisors is an integer number (278238175488).

Almost surely, 2^{112071730417920} is an apocalyptic number.

112071730417920 is a gapful number since it is divisible by the number (10) 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 112071730417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240397783621632).

112071730417920 is an abundant number, since it is smaller than the sum of its proper divisors (368723836825344).

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

112071730417920 is a wasteful number, since it uses less digits than its factorization.

112071730417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 112071730417920 in words is "one hundred twelve trillion, seventy-one billion, seven hundred thirty million, four hundred seventeen thousand, nine hundred twenty".