112272120140200 has 192 divisors, whose sum is σ = 263422747365120. Its totient is φ = 44500008960000.

The previous prime is 112272120140197. The next prime is 112272120140249. The reversal of 112272120140200 is 2041021272211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9513774300 + ... + 9513786100.

It is an arithmetic number, because the mean of its divisors is an integer number (1371993475860).

Almost surely, 2^{112272120140200} is an apocalyptic number.

112272120140200 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 112272120140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131711373682560).

112272120140200 is an abundant number, since it is smaller than the sum of its proper divisors (151150627224920).

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

112272120140200 is a wasteful number, since it uses less digits than its factorization.

112272120140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The spelling of 112272120140200 in words is "one hundred twelve trillion, two hundred seventy-two billion, one hundred twenty million, one hundred forty thousand, two hundred".