220320213200 has 120 divisors (see below), whose sum is σ = 540446534208. Its totient is φ = 86294333440.

The previous prime is 220320213151. The next prime is 220320213203. The reversal of 220320213200 is 2312023022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220320213203) 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, 3722237 + ... + 3780963.

Almost surely, 2^220320213200 is an apocalyptic number.

220320213200 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 220320213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270223267104).

220320213200 is an abundant number, since it is smaller than the sum of its proper divisors (320126321008).

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

220320213200 is a wasteful number, since it uses less digits than its factorization.

220320213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58941 (or 58930 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 220320213200 its reverse (2312023022), we get a palindrome (222632236222).

The spelling of 220320213200 in words is "two hundred twenty billion, three hundred twenty million, two hundred thirteen thousand, two hundred".