112012120211200 has 216 divisors, whose sum is σ = 308158465877136. Its totient is φ = 39963156480000.

The previous prime is 112012120211161. The next prime is 112012120211219. The reversal of 112012120211200 is 2112021210211.

112012120211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11279001 + ... + 18741400.

It is an arithmetic number, because the mean of its divisors is an integer number (1426659564246).

Almost surely, 2^{112012120211200} is an apocalyptic number.

112012120211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012120211200 is an abundant number, since it is smaller than the sum of its proper divisors (196146345665936).

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

112012120211200 is a wasteful number, since it uses less digits than its factorization.

112012120211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30020491 (or 30020472 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112012120211200 its reverse (2112021210211), we get a palindrome (114124141421411).

The spelling of 112012120211200 in words is "one hundred twelve trillion, twelve billion, one hundred twenty million, two hundred eleven thousand, two hundred".