112220211200 has 144 divisors (see below), whose sum is σ = 281005959780. Its totient is φ = 44441600000.

The previous prime is 112220211151. The next prime is 112220211223. The reversal of 112220211200 is 2112022211.

It can be written as a sum of positive squares in 6 ways, for example, as 93645792256 + 18574418944 = 306016^2 + 136288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5160350 + ... + 5182050.

Almost surely, 2^112220211200 is an apocalyptic number.

112220211200 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 112220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140502979890).

112220211200 is an abundant number, since it is smaller than the sum of its proper divisors (168785748580).

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

112220211200 is a wasteful number, since it uses less digits than its factorization.

112220211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21834 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112220211200 its reverse (2112022211), we get a palindrome (114332233411).

The spelling of 112220211200 in words is "one hundred twelve billion, two hundred twenty million, two hundred eleven thousand, two hundred".