21122210221200 has 360 divisors, whose sum is σ = 84172179168480. Its totient is φ = 4851033753600.

The previous prime is 21122210221187. The next prime is 21122210221223. The reversal of 21122210221200 is 212201222112.

It is a happy number.

21122210221200 is a `hidden beast` number, since 2 + 11 + 22 + 210 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×21122210221200² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13284157 + ... + 14788956.

Almost surely, 2^{21122210221200} is an apocalyptic number.

21122210221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122210221200 is an abundant number, since it is smaller than the sum of its proper divisors (63049968947280).

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

21122210221200 is a wasteful number, since it uses less digits than its factorization.

21122210221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28073167 (or 28073153 counting only the distinct ones).

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

Adding to 21122210221200 its reverse (212201222112), we get a palindrome (21334411443312).

The spelling of 21122210221200 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, two hundred".