2221331200220 has 144 divisors (see below), whose sum is σ = 5165211397248. Its totient is φ = 795799200000.

The previous prime is 2221331200199. The next prime is 2221331200229. The reversal of 2221331200220 is 220021331222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221331200192 and 2221331200201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221331200229) 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 47 ways as a sum of consecutive naturals, for example, 473528075 + ... + 473532765.

It is an arithmetic number, because the mean of its divisors is an integer number (35869523592).

Almost surely, 2^{2221331200220} is an apocalyptic number.

2221331200220 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 2221331200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582605698624).

2221331200220 is an abundant number, since it is smaller than the sum of its proper divisors (2943880197028).

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

2221331200220 is a wasteful number, since it uses less digits than its factorization.

2221331200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2221331200220 its reverse (220021331222), we get a palindrome (2441352531442).

The spelling of 2221331200220 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-one million, two hundred thousand, two hundred twenty".