112139812611540 has 384 divisors, whose sum is σ = 407269091819520. Its totient is φ = 25082507713536.

The previous prime is 112139812611521. The next prime is 112139812611553. The reversal of 112139812611540 is 45116218931211.

112139812611540 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 9 + 81 + 26 + 1 + 1 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1164157819 + ... + 1164254141.

It is an arithmetic number, because the mean of its divisors is an integer number (1060596593280).

Almost surely, 2^{112139812611540} is an apocalyptic number.

112139812611540 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 112139812611540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203634545909760).

112139812611540 is an abundant number, since it is smaller than the sum of its proper divisors (295129279207980).

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

112139812611540 is a wasteful number, since it uses less digits than its factorization.

112139812611540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102948 (or 102940 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 112139812611540 in words is "one hundred twelve trillion, one hundred thirty-nine billion, eight hundred twelve million, six hundred eleven thousand, five hundred forty".