112244255213200 has 240 divisors, whose sum is σ = 295260943072320. Its totient is φ = 40666669056000.

The previous prime is 112244255213143. The next prime is 112244255213203. The reversal of 112244255213200 is 2312552442211.

It is a super-3 number, since 3×112244255213200³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112244255213203) 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, 1322672371 + ... + 1322757229.

It is an arithmetic number, because the mean of its divisors is an integer number (1230253929468).

Almost surely, 2^{112244255213200} is an apocalyptic number.

112244255213200 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 112244255213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147630471536160).

112244255213200 is an abundant number, since it is smaller than the sum of its proper divisors (183016687859120).

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

112244255213200 is a wasteful number, since it uses less digits than its factorization.

112244255213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85986 (or 85975 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 112244255213200 in words is "one hundred twelve trillion, two hundred forty-four billion, two hundred fifty-five million, two hundred thirteen thousand, two hundred".