112305295872 has 480 divisors, whose sum is σ = 405808026624. Its totient is φ = 29046988800.

The previous prime is 112305295867. The next prime is 112305295877. The reversal of 112305295872 is 278592503211.

112305295872 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 0 + 529 + 58 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (112305295867) and next prime (112305295877).

It is a super-2 number, since 2×112305295872² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112305295877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108927997 + ... + 108929027.

Almost surely, 2^112305295872 is an apocalyptic number.

112305295872 is a gapful number since it is divisible by the number (12) 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 112305295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202904013312).

112305295872 is an abundant number, since it is smaller than the sum of its proper divisors (293502730752).

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

112305295872 is a wasteful number, since it uses less digits than its factorization.

112305295872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 112305295872 in words is "one hundred twelve billion, three hundred five million, two hundred ninety-five thousand, eight hundred seventy-two".