220310213120 has 80 divisors (see below), whose sum is σ = 531282569400. Its totient is φ = 87614521344.

The previous prime is 220310213113. The next prime is 220310213159. The reversal of 220310213120 is 21312013022.

It can be written as a sum of positive squares in 4 ways, for example, as 219188766976 + 1121446144 = 468176^2 + 33488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194156 + ... + 691604.

Almost surely, 2^220310213120 is an apocalyptic number.

220310213120 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 220310213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265641284700).

220310213120 is an abundant number, since it is smaller than the sum of its proper divisors (310972356280).

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

220310213120 is an equidigital number, since it uses as much as digits as its factorization.

220310213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497645 (or 497629 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 220310213120 its reverse (21312013022), we get a palindrome (241622226142).

The spelling of 220310213120 in words is "two hundred twenty billion, three hundred ten million, two hundred thirteen thousand, one hundred twenty".