112065326527200 has 288 divisors, whose sum is σ = 366155609041152. Its totient is φ = 29770836480000.

The previous prime is 112065326527183. The next prime is 112065326527229. The reversal of 112065326527200 is 2725623560211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3338937619 + ... + 3338971181.

It is an arithmetic number, because the mean of its divisors is an integer number (1271373642504).

Almost surely, 2^{112065326527200} is an apocalyptic number.

112065326527200 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 112065326527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183077804520576).

112065326527200 is an abundant number, since it is smaller than the sum of its proper divisors (254090282513952).

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

112065326527200 is a wasteful number, since it uses less digits than its factorization.

112065326527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38818 (or 38805 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 112065326527200 in words is "one hundred twelve trillion, sixty-five billion, three hundred twenty-six million, five hundred twenty-seven thousand, two hundred".