305312120 has 64 divisors (see below), whose sum is σ = 719979840. Its totient is φ = 116300800.

The previous prime is 305312093. The next prime is 305312173. The reversal of 305312120 is 21213503.

It is a congruent number.

It is an unprimeable number.

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, 257930 + ... + 259110.

It is an arithmetic number, because the mean of its divisors is an integer number (11249685).

Almost surely, 2^305312120 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 305312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359989920).

305312120 is an abundant number, since it is smaller than the sum of its proper divisors (414667720).

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

305312120 is a wasteful number, since it uses less digits than its factorization.

305312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 305312120 is about 17473.1828812040. The cubic root of 305312120 is about 673.3610865490.

Adding to 305312120 its reverse (21213503), we get a palindrome (326525623).

The spelling of 305312120 in words is "three hundred five million, three hundred twelve thousand, one hundred twenty".