220220313120 has 216 divisors, whose sum is σ = 764472424716. Its totient is φ = 57728756736.

The previous prime is 220220313113. The next prime is 220220313167. The reversal of 220220313120 is 21313022022.

It can be written as a sum of positive squares in 2 ways, for example, as 192064815504 + 28155497616 = 438252^2 + 167796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220220313093 and 220220313102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4990674 + ... + 5034606.

Almost surely, 2^220220313120 is an apocalyptic number.

220220313120 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 220220313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382236212358).

220220313120 is an abundant number, since it is smaller than the sum of its proper divisors (544252111596).

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

220220313120 is a wasteful number, since it uses less digits than its factorization.

220220313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44072 (or 44002 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220220313120 its reverse (21313022022), we get a palindrome (241533335142).

The spelling of 220220313120 in words is "two hundred twenty billion, two hundred twenty million, three hundred thirteen thousand, one hundred twenty".