220301120 has 56 divisors (see below), whose sum is σ = 564955944. Its totient is φ = 81340416.

The previous prime is 220301117. The next prime is 220301131. The reversal of 220301120 is 21103022.

It is a happy number.

220301120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9935104 + 210366016 = 3152^2 + 14504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22319 + ... + 30638.

It is an arithmetic number, because the mean of its divisors is an integer number (10088499).

Almost surely, 2^220301120 is an apocalyptic number.

220301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220301120 is an abundant number, since it is smaller than the sum of its proper divisors (344654824).

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

220301120 is a wasteful number, since it uses less digits than its factorization.

220301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52987 (or 52977 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 220301120 is about 14842.5442562925. The cubic root of 220301120 is about 603.9563730312.

Adding to 220301120 its reverse (21103022), we get a palindrome (241404142).

The spelling of 220301120 in words is "two hundred twenty million, three hundred one thousand, one hundred twenty".