112081859809920 has 4608 divisors, whose sum is σ = 552761616476160. Its totient is φ = 21332466892800.

The previous prime is 112081859809891. The next prime is 112081859809961. The reversal of 112081859809920 is 29908958180211.

112081859809920 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 8 + 18 + 598 + 0 + 9 + 9 + 20 = 666.

112081859809920 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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 177625768005 + ... + 177625768635.

It is an arithmetic number, because the mean of its divisors is an integer number (119956948020).

Almost surely, 2^{112081859809920} is an apocalyptic number.

112081859809920 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 112081859809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276380808238080).

112081859809920 is an abundant number, since it is smaller than the sum of its proper divisors (440679756666240).

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

112081859809920 is a wasteful number, since it uses less digits than its factorization.

112081859809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 63.

The spelling of 112081859809920 in words is "one hundred twelve trillion, eighty-one billion, eight hundred fifty-nine million, eight hundred nine thousand, nine hundred twenty".