112589961120 has 480 divisors, whose sum is σ = 489049723008. Its totient is φ = 23754995712.

The previous prime is 112589961119. The next prime is 112589961131. The reversal of 112589961120 is 21169985211.

112589961120 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 8 + 9 + 9 + 611 + 20 = 666.

112589961120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×112589961120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1131627 + ... + 1227093.

Almost surely, 2^112589961120 is an apocalyptic number.

112589961120 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 112589961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244524861504).

112589961120 is an abundant number, since it is smaller than the sum of its proper divisors (376459761888).

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

112589961120 is a wasteful number, since it uses less digits than its factorization.

112589961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95514 (or 95497 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 112589961120 in words is "one hundred twelve billion, five hundred eighty-nine million, nine hundred sixty-one thousand, one hundred twenty".