21122331322200 has 96 divisors (see below), whose sum is σ = 68326150060800. Its totient is φ = 5387725087360.

The previous prime is 21122331322171. The next prime is 21122331322201. The reversal of 21122331322200 is 222313322112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122331322201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 765288060 + ... + 765315659.

It is an arithmetic number, because the mean of its divisors is an integer number (711730729800).

Almost surely, 2^{21122331322200} is an apocalyptic number.

21122331322200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122331322200 is an abundant number, since it is smaller than the sum of its proper divisors (47203818738600).

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

21122331322200 is a wasteful number, since it uses less digits than its factorization.

21122331322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530603761 (or 1530603752 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21122331322200 its reverse (222313322112), we get a palindrome (21344644644312).

The spelling of 21122331322200 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred thirty-one million, three hundred twenty-two thousand, two hundred".