112612677552 has 120 divisors (see below), whose sum is σ = 329715771840. Its totient is φ = 35842728960.

The previous prime is 112612677521. The next prime is 112612677559. The reversal of 112612677552 is 255776216211.

112612677552 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 26 + 77 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112612677498 and 112612677507.

It is not an unprimeable number, because it can be changed into a prime (112612677559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74574 + ... + 480402.

It is an arithmetic number, because the mean of its divisors is an integer number (2747631432).

Almost surely, 2^112612677552 is an apocalyptic number.

112612677552 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 112612677552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164857885920).

112612677552 is an abundant number, since it is smaller than the sum of its proper divisors (217103094288).

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

112612677552 is a wasteful number, since it uses less digits than its factorization.

112612677552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405931 (or 405922 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 112612677552 in words is "one hundred twelve billion, six hundred twelve million, six hundred seventy-seven thousand, five hundred fifty-two".