220112220112200 has 672 divisors, whose sum is σ = 838646210707200. Its totient is φ = 53372760122880.

The previous prime is 220112220112181. The next prime is 220112220112219. The reversal of 220112220112200 is 2211022211022.

It is a happy number.

220112220112200 is a `hidden beast` number, since 2 + 20 + 112 + 220 + 112 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (220112220112181) and next prime (220112220112219).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 126125161 + ... + 127858439.

It is an arithmetic number, because the mean of its divisors is an integer number (1247985432600).

Almost surely, 2^{220112220112200} is an apocalyptic number.

220112220112200 is a gapful number since it is divisible by the number (20) 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 220112220112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419323105353600).

220112220112200 is an abundant number, since it is smaller than the sum of its proper divisors (618533990595000).

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

220112220112200 is a wasteful number, since it uses less digits than its factorization.

220112220112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733393 (or 1733369 counting only the distinct ones).

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

Adding to 220112220112200 its reverse (2211022211022), we get a palindrome (222323242323222).

The spelling of 220112220112200 in words is "two hundred twenty trillion, one hundred twelve billion, two hundred twenty million, one hundred twelve thousand, two hundred".