220323120 has 80 divisors (see below), whose sum is σ = 695928672. Its totient is φ = 57640960.

The previous prime is 220323119. The next prime is 220323127. The reversal of 220323120 is 21323022.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220323120.

It is not an unprimeable number, because it can be changed into a prime (220323127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4060 + ... + 21380.

Almost surely, 2^220323120 is an apocalyptic number.

220323120 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 220323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347964336).

220323120 is an abundant number, since it is smaller than the sum of its proper divisors (475605552).

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

220323120 is a wasteful number, since it uses less digits than its factorization.

220323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17390 (or 17384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 220323120 is about 14843.2853506223. The cubic root of 220323120 is about 603.9764767237.

Adding to 220323120 its reverse (21323022), we get a palindrome (241646142).

It can be divided in two parts, 22032 and 3120, that added together give a palindrome (25152).

The spelling of 220323120 in words is "two hundred twenty million, three hundred twenty-three thousand, one hundred twenty".