21202221121200 has 360 divisors, whose sum is σ = 88514404160000. Its totient is φ = 4591157552640.

The previous prime is 21202221121187. The next prime is 21202221121231. The reversal of 21202221121200 is 212112220212.

It is a happy number.

21202221121200 is a `hidden beast` number, since 2 + 120 + 2 + 221 + 121 + 200 = 666.

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

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

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 71 ways as a sum of consecutive naturals, for example, 21662200 + ... + 22619799.

Almost surely, 2^{21202221121200} is an apocalyptic number.

21202221121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202221121200 is an abundant number, since it is smaller than the sum of its proper divisors (67312183038800).

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

21202221121200 is a wasteful number, since it uses less digits than its factorization.

21202221121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44282049 (or 44282035 counting only the distinct ones).

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

Adding to 21202221121200 its reverse (212112220212), we get a palindrome (21414333341412).

The spelling of 21202221121200 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".