21222201211200 has 504 divisors, whose sum is σ = 82308948452640. Its totient is φ = 5143333171200.

The previous prime is 21222201211157. The next prime is 21222201211207. The reversal of 21222201211200 is 211210222212.

It is a happy number.

21222201211200 is a `hidden beast` number, since 2 + 122 + 220 + 121 + 1 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222201211207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631840807 + ... + 631874393.

It is an arithmetic number, because the mean of its divisors is an integer number (163311405660).

Almost surely, 2^{21222201211200} is an apocalyptic number.

21222201211200 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 21222201211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41154474226320).

21222201211200 is an abundant number, since it is smaller than the sum of its proper divisors (61086747241440).

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

21222201211200 is a wasteful number, since it uses less digits than its factorization.

21222201211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37615 (or 37597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222201211200 its reverse (211210222212), we get a palindrome (21433411433412).

The spelling of 21222201211200 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred one million, two hundred eleven thousand, two hundred".