112741815390120 has 768 divisors, whose sum is σ = 453325676544000. Its totient is φ = 23734063964160.

The previous prime is 112741815390107. The next prime is 112741815390137. The reversal of 112741815390120 is 21093518147211.

112741815390120 is a `hidden beast` number, since 1 + 1 + 2 + 74 + 181 + 5 + 390 + 12 + 0 = 666.

It is a super-2 number, since 2×112741815390120² (a number of 29 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357397584 + ... + 357712896.

It is an arithmetic number, because the mean of its divisors is an integer number (590267808000).

Almost surely, 2^{112741815390120} is an apocalyptic number.

112741815390120 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 112741815390120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226662838272000).

112741815390120 is an abundant number, since it is smaller than the sum of its proper divisors (340583861153880).

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

112741815390120 is a wasteful number, since it uses less digits than its factorization.

112741815390120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315590 (or 315583 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 112741815390120 in words is "one hundred twelve trillion, seven hundred forty-one billion, eight hundred fifteen million, three hundred ninety thousand, one hundred twenty".