112350638410272 has 192 divisors, whose sum is σ = 341948028764160. Its totient is φ = 35820758552832.

The previous prime is 112350638410253. The next prime is 112350638410333. The reversal of 112350638410272 is 272014836053211.

112350638410272 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 5 + 0 + 638 + 4 + 1 + 0 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×112350638410272² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754326273 + ... + 754475199.

It is an arithmetic number, because the mean of its divisors is an integer number (1780979316480).

Almost surely, 2^{112350638410272} is an apocalyptic number.

112350638410272 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 112350638410272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170974014382080).

112350638410272 is an abundant number, since it is smaller than the sum of its proper divisors (229597390353888).

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

112350638410272 is a wasteful number, since it uses less digits than its factorization.

112350638410272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186932 (or 186918 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 112350638410272 in words is "one hundred twelve trillion, three hundred fifty billion, six hundred thirty-eight million, four hundred ten thousand, two hundred seventy-two".