220220311120 has 80 divisors (see below), whose sum is σ = 517619222928. Its totient is φ = 87125299200.

The previous prime is 220220311111. The next prime is 220220311153. The reversal of 220220311120 is 21113022022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 88999595584 + 131220715536 = 298328^2 + 362244^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220220311094 and 220220311103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8042092 + ... + 8069428.

Almost surely, 2^220220311120 is an apocalyptic number.

220220311120 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 220220311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258809611464).

220220311120 is an abundant number, since it is smaller than the sum of its proper divisors (297398911808).

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

220220311120 is a wasteful number, since it uses less digits than its factorization.

220220311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28448 (or 28442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220220311120 its reverse (21113022022), we get a palindrome (241333333142).

The spelling of 220220311120 in words is "two hundred twenty billion, two hundred twenty million, three hundred eleven thousand, one hundred twenty".