112112313211200 has 336 divisors, whose sum is σ = 390486093986880. Its totient is φ = 28063741870080.

The previous prime is 112112313211159. The next prime is 112112313211219. The reversal of 112112313211200 is 2112313211211.

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, 29113834 + ... + 32738966.

Almost surely, 2^{112112313211200} is an apocalyptic number.

112112313211200 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 112112313211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195243046993440).

112112313211200 is an abundant number, since it is smaller than the sum of its proper divisors (278373780775680).

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

112112313211200 is a wasteful number, since it uses less digits than its factorization.

112112313211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625554 (or 3625539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 112112313211200 its reverse (2112313211211), we get a palindrome (114224626422411).

The spelling of 112112313211200 in words is "one hundred twelve trillion, one hundred twelve billion, three hundred thirteen million, two hundred eleven thousand, two hundred".