22221122212200 has 192 divisors, whose sum is σ = 70894980288000. Its totient is φ = 5753441111040.

The previous prime is 22221122212169. The next prime is 22221122212229. The reversal of 22221122212200 is 221222112222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9588966 + ... + 11678634.

It is an arithmetic number, because the mean of its divisors is an integer number (369244689000).

Almost surely, 2^{22221122212200} is an apocalyptic number.

22221122212200 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 22221122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35447490144000).

22221122212200 is an abundant number, since it is smaller than the sum of its proper divisors (48673858075800).

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

22221122212200 is a wasteful number, since it uses less digits than its factorization.

22221122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090204 (or 2090195 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22221122212200 its reverse (221222112222), we get a palindrome (22442344324422).

The spelling of 22221122212200 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".