112817123328 has 832 divisors, whose sum is σ = 396313344000. Its totient is φ = 28323348480.

The previous prime is 112817123269. The next prime is 112817123351. The reversal of 112817123328 is 823321718211.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1588973533 + ... + 1588973603.

Almost surely, 2^112817123328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112817123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198156672000).

112817123328 is an abundant number, since it is smaller than the sum of its proper divisors (283496220672).

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

112817123328 is an equidigital number, since it uses as much as digits as its factorization.

112817123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The spelling of 112817123328 in words is "one hundred twelve billion, eight hundred seventeen million, one hundred twenty-three thousand, three hundred twenty-eight".