305212512 has 96 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 92126720.

The previous prime is 305212483. The next prime is 305212529. The reversal of 305212512 is 215212503.

305212512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410413 + ... + 411155.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^305212512 is an apocalyptic number.

305212512 is a gapful number since it is divisible by the number (32) 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 305212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

305212512 is an abundant number, since it is smaller than the sum of its proper divisors (572231328).

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

305212512 is a wasteful number, since it uses less digits than its factorization.

305212512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 305212512 is about 17470.3323379952. The cubic root of 305212512 is about 673.2878506240.

Subtracting from 305212512 its reverse (215212503), we obtain a palindrome (90000009).

It can be divided in two parts, 30521 and 2512, that added together give a palindrome (33033).

The spelling of 305212512 in words is "three hundred five million, two hundred twelve thousand, five hundred twelve".