22121332200 has 192 divisors, whose sum is σ = 83122804800. Its totient is φ = 5362732800.

The previous prime is 22121332193. The next prime is 22121332201. The reversal of 22121332200 is 223312122.

22121332200 is a `hidden beast` number, since 221 + 213 + 32 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22121332201) by changing a digit.

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, 126807 + ... + 245606.

It is an arithmetic number, because the mean of its divisors is an integer number (432931275).

Almost surely, 2^22121332200 is an apocalyptic number.

22121332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121332200 is an abundant number, since it is smaller than the sum of its proper divisors (61001472600).

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

22121332200 is a wasteful number, since it uses less digits than its factorization.

22121332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372449 (or 372434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22121332200 its reverse (223312122), we get a palindrome (22344644322).

The spelling of 22121332200 in words is "twenty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, two hundred".