220332212320 has 192 divisors, whose sum is σ = 590129971200. Its totient is φ = 77013043200.

The previous prime is 220332212299. The next prime is 220332212323. The reversal of 220332212320 is 23212233022.

It is a super-3 number, since 3×220332212320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 220332212291 and 220332212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220332212323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8115889 + ... + 8142991.

It is an arithmetic number, because the mean of its divisors is an integer number (3073593600).

Almost surely, 2^220332212320 is an apocalyptic number.

220332212320 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 220332212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295064985600).

220332212320 is an abundant number, since it is smaller than the sum of its proper divisors (369797758880).

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

220332212320 is a wasteful number, since it uses less digits than its factorization.

220332212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27309 (or 27301 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 220332212320 its reverse (23212233022), we get a palindrome (243544445342).

The spelling of 220332212320 in words is "two hundred twenty billion, three hundred thirty-two million, two hundred twelve thousand, three hundred twenty".