22121210220200 has 288 divisors, whose sum is σ = 64443069363960. Its totient is φ = 6999693926400.

The previous prime is 22121210220181. The next prime is 22121210220259. The reversal of 22121210220200 is 202201212122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 47637604 + 22121162582596 = 6902^2 + 4703314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 865415420 + ... + 865440980.

Almost surely, 2^{22121210220200} is an apocalyptic number.

22121210220200 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 22121210220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221534681980).

22121210220200 is an abundant number, since it is smaller than the sum of its proper divisors (42321859143760).

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

22121210220200 is a wasteful number, since it uses less digits than its factorization.

22121210220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32397 (or 32381 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22121210220200 its reverse (202201212122), we get a palindrome (22323411432322).

The spelling of 22121210220200 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred ten million, two hundred twenty thousand, two hundred".