21122022202200 has 240 divisors, whose sum is σ = 76549475051280. Its totient is φ = 5387646147840.

The previous prime is 21122022202157. The next prime is 21122022202247. The reversal of 21122022202200 is 220222022112.

21122022202200 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 2 + 220 + 220 + 0 = 666.

It is a super-2 number, since 2×21122022202200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27971499 + ... + 28716698.

It is an arithmetic number, because the mean of its divisors is an integer number (318956146047).

Almost surely, 2^{21122022202200} is an apocalyptic number.

21122022202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122022202200 is an abundant number, since it is smaller than the sum of its proper divisors (55427452849080).

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

21122022202200 is a wasteful number, since it uses less digits than its factorization.

21122022202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56688248 (or 56688230 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21122022202200 its reverse (220222022112), we get a palindrome (21342244224312).

The spelling of 21122022202200 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-two million, two hundred two thousand, two hundred".