220111320 has 256 divisors, whose sum is σ = 789626880. Its totient is φ = 48384000.

The previous prime is 220111319. The next prime is 220111321. The reversal of 220111320 is 23111022.

220111320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220111319) and next prime (220111321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220111296 and 220111305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220111321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1733097 + ... + 1733223.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^220111320 is an apocalyptic number.

220111320 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 220111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

220111320 is an abundant number, since it is smaller than the sum of its proper divisors (569515560).

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

220111320 is a wasteful number, since it uses less digits than its factorization.

220111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 220111320 is about 14836.1490960424. The cubic root of 220111320 is about 603.7828773852.

Adding to 220111320 its reverse (23111022), we get a palindrome (243222342).

The spelling of 220111320 in words is "two hundred twenty million, one hundred eleven thousand, three hundred twenty".