112135237920 has 192 divisors, whose sum is σ = 392628055680. Its totient is φ = 29890944000.

The previous prime is 112135237919. The next prime is 112135237999. The reversal of 112135237920 is 29732531211.

It is a happy number.

112135237920 is a `hidden beast` number, since 1 + 1 + 213 + 52 + 379 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20089530 + ... + 20095110.

It is an arithmetic number, because the mean of its divisors is an integer number (2044937790).

Almost surely, 2^112135237920 is an apocalyptic number.

112135237920 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 112135237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196314027840).

112135237920 is an abundant number, since it is smaller than the sum of its proper divisors (280492817760).

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

112135237920 is a wasteful number, since it uses less digits than its factorization.

112135237920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 112135237920 its sum of digits (36), we get a square (112135237956 = 334866²).

The spelling of 112135237920 in words is "one hundred twelve billion, one hundred thirty-five million, two hundred thirty-seven thousand, nine hundred twenty".