305130120 has 128 divisors (see below), whose sum is σ = 989884800. Its totient is φ = 74981376.

The previous prime is 305130109. The next prime is 305130143. The reversal of 305130120 is 21031503.

It is a happy number.

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 305130120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82552 + ... + 86168.

It is an arithmetic number, because the mean of its divisors is an integer number (7733475).

Almost surely, 2^305130120 is an apocalyptic number.

305130120 is a gapful number since it is divisible by the number (30) 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 305130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494942400).

305130120 is an abundant number, since it is smaller than the sum of its proper divisors (684754680).

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

305130120 is a wasteful number, since it uses less digits than its factorization.

305130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 305130120 is about 17467.9741240935. The cubic root of 305130120 is about 673.2272605730.

Adding to 305130120 its reverse (21031503), we get a palindrome (326161623).

The spelling of 305130120 in words is "three hundred five million, one hundred thirty thousand, one hundred twenty".