112273057574172 has 192 divisors, whose sum is σ = 319700374156800. Its totient is φ = 33790852892160.

The previous prime is 112273057574141. The next prime is 112273057574191. The reversal of 112273057574172 is 271475750372211.

112273057574172 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 3 + 0 + 57 + 574 + 17 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 436132248 + ... + 436389600.

It is an arithmetic number, because the mean of its divisors is an integer number (1665106115400).

Almost surely, 2^{112273057574172} is an apocalyptic number.

112273057574172 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 112273057574172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159850187078400).

112273057574172 is an abundant number, since it is smaller than the sum of its proper divisors (207427316582628).

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

112273057574172 is a wasteful number, since it uses less digits than its factorization.

112273057574172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259873 (or 259865 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The spelling of 112273057574172 in words is "one hundred twelve trillion, two hundred seventy-three billion, fifty-seven million, five hundred seventy-four thousand, one hundred seventy-two".