112120384512 has 264 divisors, whose sum is σ = 324329693184. Its totient is φ = 34413805568.

The previous prime is 112120384447. The next prime is 112120384513. The reversal of 112120384512 is 215483021211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112120384512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120384513) 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, 41725633 + ... + 41728319.

Almost surely, 2^112120384512 is an apocalyptic number.

112120384512 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 112120384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162164846592).

112120384512 is an abundant number, since it is smaller than the sum of its proper divisors (212209308672).

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

112120384512 is a wasteful number, since it uses less digits than its factorization.

112120384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 112120384512 in words is "one hundred twelve billion, one hundred twenty million, three hundred eighty-four thousand, five hundred twelve".