112339809792000 has 5824 divisors, whose sum is σ = 529155563888640. Its totient is φ = 23219011584000.

The previous prime is 112339809791971. The next prime is 112339809792029. The reversal of 112339809792000 is 297908933211.

112339809792000 is a `hidden beast` number, since 1 + 12 + 339 + 8 + 0 + 97 + 9 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112339809791971) and next prime (112339809792029).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1538901503964 + ... + 1538901504036.

Almost surely, 2^{112339809792000} is an apocalyptic number.

112339809792000 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 112339809792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264577781944320).

112339809792000 is an abundant number, since it is smaller than the sum of its proper divisors (416815754096640).

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

112339809792000 is an frugal number, since it uses more digits than its factorization.

112339809792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 112339809792000 in words is "one hundred twelve trillion, three hundred thirty-nine billion, eight hundred nine million, seven hundred ninety-two thousand".