21220202011200 has 168 divisors, whose sum is σ = 69687488971200. Its totient is φ = 5653230643200.

The previous prime is 21220202011187. The next prime is 21220202011321. The reversal of 21220202011200 is 211020202212.

It is a super-2 number, since 2×21220202011200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21220202011200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2804826 + ... + 7092774.

Almost surely, 2^{21220202011200} is an apocalyptic number.

21220202011200 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 21220202011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34843744485600).

21220202011200 is an abundant number, since it is smaller than the sum of its proper divisors (48467286960000).

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

21220202011200 is a wasteful number, since it uses less digits than its factorization.

21220202011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289005 (or 4288990 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21220202011200 its reverse (211020202212), we get a palindrome (21431222213412).

The spelling of 21220202011200 in words is "twenty-one trillion, two hundred twenty billion, two hundred two million, eleven thousand, two hundred".