305222120 has 64 divisors (see below), whose sum is σ = 788313600. Its totient is φ = 104186880.

The previous prime is 305222117. The next prime is 305222123. The reversal of 305222120 is 21222503.

It is an interprime number because it is at equal distance from previous prime (305222117) and next prime (305222123).

It is not an unprimeable number, because it can be changed into a prime (305222123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64640 + ... + 69200.

It is an arithmetic number, because the mean of its divisors is an integer number (12317400).

Almost surely, 2^305222120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394156800).

305222120 is an abundant number, since it is smaller than the sum of its proper divisors (483091480).

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

305222120 is a wasteful number, since it uses less digits than its factorization.

305222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 305222120 is about 17470.6073162898. The cubic root of 305222120 is about 673.2949155177.

Adding to 305222120 its reverse (21222503), we get a palindrome (326444623).

The spelling of 305222120 in words is "three hundred five million, two hundred twenty-two thousand, one hundred twenty".