20213221033200 has 960 divisors, whose sum is σ = 71677022376960. Its totient is φ = 4839284736000.

The previous prime is 20213221033199. The next prime is 20213221033249. The reversal of 20213221033200 is 233012231202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22943496760 + ... + 22943497640.

It is an arithmetic number, because the mean of its divisors is an integer number (74663564976).

Almost surely, 2^{20213221033200} is an apocalyptic number.

20213221033200 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 20213221033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35838511188480).

20213221033200 is an abundant number, since it is smaller than the sum of its proper divisors (51463801343760).

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

20213221033200 is a wasteful number, since it uses less digits than its factorization.

20213221033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20213221033200 its reverse (233012231202), we get a palindrome (20446233264402).

The spelling of 20213221033200 in words is "twenty trillion, two hundred thirteen billion, two hundred twenty-one million, thirty-three thousand, two hundred".