112907934720 has 1760 divisors, whose sum is σ = 513603763200. Its totient is φ = 23123460096.

The previous prime is 112907934673. The next prime is 112907934773. The reversal of 112907934720 is 27439709211.

112907934720 is a `hidden beast` number, since 1 + 1 + 2 + 90 + 7 + 93 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1268628436 + ... + 1268628524.

It is an arithmetic number, because the mean of its divisors is an integer number (291820320).

Almost surely, 2^112907934720 is an apocalyptic number.

112907934720 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 112907934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256801881600).

112907934720 is an abundant number, since it is smaller than the sum of its proper divisors (400695828480).

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

112907934720 is a wasteful number, since it uses less digits than its factorization.

112907934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 112907934720 in words is "one hundred twelve billion, nine hundred seven million, nine hundred thirty-four thousand, seven hundred twenty".