112975672320 has 704 divisors, whose sum is σ = 461551664640. Its totient is φ = 25671499776.

The previous prime is 112975672297. The next prime is 112975672333. The reversal of 112975672320 is 23276579211.

It is a happy number.

It is a super-3 number, since 3×112975672320³ (a number of 34 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302883654 + ... + 302884026.

It is an arithmetic number, because the mean of its divisors is an integer number (655613160).

Almost surely, 2^112975672320 is an apocalyptic number.

112975672320 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 112975672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230775832320).

112975672320 is an abundant number, since it is smaller than the sum of its proper divisors (348575992320).

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

112975672320 is a wasteful number, since it uses less digits than its factorization.

112975672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 112975672320 in words is "one hundred twelve billion, nine hundred seventy-five million, six hundred seventy-two thousand, three hundred twenty".