112322167171200 has 1536 divisors, whose sum is σ = 486771130368000. Its totient is φ = 24751982592000.

The previous prime is 112322167171141. The next prime is 112322167171211. The reversal of 112322167171200 is 2171761223211.

112322167171200 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 221 + 67 + 171 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5043416065 + ... + 5043438335.

It is an arithmetic number, because the mean of its divisors is an integer number (316908288000).

Almost surely, 2^{112322167171200} is an apocalyptic number.

112322167171200 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 112322167171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243385565184000).

112322167171200 is an abundant number, since it is smaller than the sum of its proper divisors (374448963196800).

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

112322167171200 is a wasteful number, since it uses less digits than its factorization.

112322167171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22611 (or 22588 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 112322167171200 in words is "one hundred twelve trillion, three hundred twenty-two billion, one hundred sixty-seven million, one hundred seventy-one thousand, two hundred".