112112122220200 has 96 divisors (see below), whose sum is σ = 261709341103800. Its totient is φ = 44664480727040.

The previous prime is 112112122220173. The next prime is 112112122220207. The reversal of 112112122220200 is 2022221211211.

It can be written as a sum of positive squares in 12 ways, for example, as 3244559202756 + 108867563017444 = 1801266^2 + 10433962^2 .

It is not an unprimeable number, because it can be changed into a prime (112112122220207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401654286 + ... + 401933314.

Almost surely, 2^{112112122220200} is an apocalyptic number.

112112122220200 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 112112122220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130854670551900).

112112122220200 is an abundant number, since it is smaller than the sum of its proper divisors (149597218883600).

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

112112122220200 is a wasteful number, since it uses less digits than its factorization.

112112122220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287119 (or 287110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 112112122220200 its reverse (2022221211211), we get a palindrome (114134343431411).

The spelling of 112112122220200 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, two hundred".