130112249117760 has 672 divisors, whose sum is σ = 552081077882880. Its totient is φ = 27388830744576.

The previous prime is 130112249117731. The next prime is 130112249117771. The reversal of 130112249117760 is 67711942211031.

130112249117760 is a `hidden beast` number, since 1 + 3 + 0 + 11 + 22 + 491 + 1 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112907361 + ... + 114053919.

It is an arithmetic number, because the mean of its divisors is an integer number (821549223040).

Almost surely, 2^{130112249117760} is an apocalyptic number.

130112249117760 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 130112249117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276040538941440).

130112249117760 is an abundant number, since it is smaller than the sum of its proper divisors (421968828765120).

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

130112249117760 is a wasteful number, since it uses less digits than its factorization.

130112249117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147035 (or 1147022 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 130112249117760 in words is "one hundred thirty trillion, one hundred twelve billion, two hundred forty-nine million, one hundred seventeen thousand, seven hundred sixty".