21322311211200 has 336 divisors, whose sum is σ = 70139021926400. Its totient is φ = 5671007354880.

The previous prime is 21322311211193. The next prime is 21322311211219. The reversal of 21322311211200 is 211211322312.

It is a super-2 number, since 2×21322311211200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3874667649 + ... + 3874673151.

Almost surely, 2^{21322311211200} is an apocalyptic number.

21322311211200 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 21322311211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35069510963200).

21322311211200 is an abundant number, since it is smaller than the sum of its proper divisors (48816710715200).

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

21322311211200 is a wasteful number, since it uses less digits than its factorization.

21322311211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 7489 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21322311211200 its reverse (211211322312), we get a palindrome (21533522533512).

The spelling of 21322311211200 in words is "twenty-one trillion, three hundred twenty-two billion, three hundred eleven million, two hundred eleven thousand, two hundred".