112111212112200 has 288 divisors, whose sum is σ = 437586622574400. Its totient is φ = 25191090593280.

The previous prime is 112111212112157. The next prime is 112111212112201. The reversal of 112111212112200 is 2211212111211.

It is a happy number.

112111212112200 is a `hidden beast` number, since 1 + 1 + 211 + 1 + 21 + 211 + 220 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112111212112201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74660967 + ... + 76147766.

It is an arithmetic number, because the mean of its divisors is an integer number (1519397995050).

Almost surely, 2^{112111212112200} is an apocalyptic number.

112111212112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112111212112200 is an abundant number, since it is smaller than the sum of its proper divisors (325475410462200).

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

112111212112200 is a wasteful number, since it uses less digits than its factorization.

112111212112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150808821 (or 150808809 counting only the distinct ones).

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

Adding to 112111212112200 its reverse (2211212111211), we get a palindrome (114322424223411).

The spelling of 112111212112200 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twelve million, one hundred twelve thousand, two hundred".