20222220221200 has 120 divisors (see below), whose sum is σ = 48919202397000. Its totient is φ = 8033080442880.

The previous prime is 20222220221179. The next prime is 20222220221209. The reversal of 20222220221200 is 212202222202.

It can be written as a sum of positive squares in 12 ways, for example, as 7072110510336 + 13150109710864 = 2659344^2 + 3626308^2 .

It is not an unprimeable number, because it can be changed into a prime (20222220221209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 346425616 + ... + 346483984.

It is an arithmetic number, because the mean of its divisors is an integer number (407660019975).

Almost surely, 2^{20222220221200} is an apocalyptic number.

20222220221200 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 20222220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24459601198500).

20222220221200 is an abundant number, since it is smaller than the sum of its proper divisors (28696982175800).

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

20222220221200 is a wasteful number, since it uses less digits than its factorization.

20222220221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64349 (or 64338 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20222220221200 its reverse (212202222202), we get a palindrome (20434422443402).

The spelling of 20222220221200 in words is "twenty trillion, two hundred twenty-two billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".