22022100212200 has 576 divisors, whose sum is σ = 58774222584000. Its totient is φ = 7661683814400.

The previous prime is 22022100212191. The next prime is 22022100212201. The reversal of 22022100212200 is 221200122022.

It is not an unprimeable number, because it can be changed into a prime (22022100212201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25110718162 + ... + 25110719038.

It is an arithmetic number, because the mean of its divisors is an integer number (102038580875).

Almost surely, 2^{22022100212200} is an apocalyptic number.

22022100212200 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 22022100212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29387111292000).

22022100212200 is an abundant number, since it is smaller than the sum of its proper divisors (36752122371800).

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

22022100212200 is a wasteful number, since it uses less digits than its factorization.

22022100212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22022100212200 its reverse (221200122022), we get a palindrome (22243300334222).

The spelling of 22022100212200 in words is "twenty-two trillion, twenty-two billion, one hundred million, two hundred twelve thousand, two hundred".