112132726920 has 512 divisors, whose sum is σ = 403621056000. Its totient is φ = 27590492160.

The previous prime is 112132726891. The next prime is 112132726957. The reversal of 112132726920 is 29627231211.

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 127 ways as a sum of consecutive naturals, for example, 266348310 + ... + 266348730.

It is an arithmetic number, because the mean of its divisors is an integer number (788322375).

Almost surely, 2^112132726920 is an apocalyptic number.

112132726920 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 112132726920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201810528000).

112132726920 is an abundant number, since it is smaller than the sum of its proper divisors (291488329080).

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

112132726920 is a wasteful number, since it uses less digits than its factorization.

112132726920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 112132726920 in words is "one hundred twelve billion, one hundred thirty-two million, seven hundred twenty-six thousand, nine hundred twenty".