112940593920 has 2160 divisors, whose sum is σ = 535929343488. Its totient is φ = 22434693120.

The previous prime is 112940593897. The next prime is 112940593951. The reversal of 112940593920 is 29395049211.

112940593920 is a `hidden beast` number, since 1 + 12 + 9 + 40 + 593 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 2402991337 + ... + 2402991383.

Almost surely, 2^112940593920 is an apocalyptic number.

112940593920 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 112940593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267964671744).

112940593920 is an abundant number, since it is smaller than the sum of its proper divisors (422988749568).

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

112940593920 is a wasteful number, since it uses less digits than its factorization.

112940593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 112940593920 in words is "one hundred twelve billion, nine hundred forty million, five hundred ninety-three thousand, nine hundred twenty".