220022102220200 has 192 divisors, whose sum is σ = 611504861184000. Its totient is φ = 71984101559040.

The previous prime is 220022102220187. The next prime is 220022102220203. The reversal of 220022102220200 is 2022201220022.

It is a super-2 number, since 2×220022102220200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220022102220203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5337881 + ... + 21645719.

It is an arithmetic number, because the mean of its divisors is an integer number (3184921152000).

Almost surely, 2^{220022102220200} is an apocalyptic number.

220022102220200 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 220022102220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305752430592000).

220022102220200 is an abundant number, since it is smaller than the sum of its proper divisors (391482758963800).

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

220022102220200 is a wasteful number, since it uses less digits than its factorization.

220022102220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16308304 (or 16308295 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 220022102220200 its reverse (2022201220022), we get a palindrome (222044303440222).

The spelling of 220022102220200 in words is "two hundred twenty trillion, twenty-two billion, one hundred two million, two hundred twenty thousand, two hundred".