112220211220200 has 288 divisors, whose sum is σ = 385818093662040. Its totient is φ = 29223217152000.

The previous prime is 112220211220193. The next prime is 112220211220207. The reversal of 112220211220200 is 2022112022211.

It is a happy number.

112220211220200 is a `hidden beast` number, since 1 + 1 + 2 + 220 + 21 + 1 + 220 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (112220211220193) and next prime (112220211220207).

It can be written as a sum of positive squares in 12 ways, for example, as 31373822322756 + 80846388897444 = 5601234^2 + 8991462^2 .

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 (112220211220207) 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, 9043504 + ... + 17499296.

Almost surely, 2^{112220211220200} is an apocalyptic number.

112220211220200 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 112220211220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192909046831020).

112220211220200 is an abundant number, since it is smaller than the sum of its proper divisors (273597882441840).

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

112220211220200 is a wasteful number, since it uses less digits than its factorization.

112220211220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455989 (or 8455977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112220211220200 its reverse (2022112022211), we get a palindrome (114242323242411).

The spelling of 112220211220200 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty thousand, two hundred".