112760866148112 has 1920 divisors, whose sum is σ = 441068644800000. Its totient is φ = 27404507160576.

The previous prime is 112760866148107. The next prime is 112760866148129. The reversal of 112760866148112 is 211841668067211.

112760866148112 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 6 + 0 + 8 + 6 + 614 + 8 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32693783764 + ... + 32693787212.

It is an arithmetic number, because the mean of its divisors is an integer number (229723252500).

Almost surely, 2^{112760866148112} is an apocalyptic number.

112760866148112 is a gapful number since it is divisible by the number (12) 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 112760866148112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220534322400000).

112760866148112 is an abundant number, since it is smaller than the sum of its proper divisors (328307778651888).

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

112760866148112 is a wasteful number, since it uses less digits than its factorization.

112760866148112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 112760866148112 in words is "one hundred twelve trillion, seven hundred sixty billion, eight hundred sixty-six million, one hundred forty-eight thousand, one hundred twelve".