112212112111200 has 432 divisors, whose sum is σ = 405380615198832. Its totient is φ = 29190389760000.

The previous prime is 112212112111181. The next prime is 112212112111237. The reversal of 112212112111200 is 2111211212211.

It is a happy number.

112212112111200 is a `hidden beast` number, since 1 + 1 + 221 + 211 + 21 + 11 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5290268595 + ... + 5290289805.

It is an arithmetic number, because the mean of its divisors is an integer number (938381053701).

Almost surely, 2^{112212112111200} is an apocalyptic number.

112212112111200 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 112212112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202690307599416).

112212112111200 is an abundant number, since it is smaller than the sum of its proper divisors (293168503087632).

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

112212112111200 is a wasteful number, since it uses less digits than its factorization.

112212112111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39199 (or 39183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112212112111200 its reverse (2111211212211), we get a palindrome (114323323323411).

The spelling of 112212112111200 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred eleven thousand, two hundred".