305344002120 has 64 divisors (see below), whose sum is σ = 945581437440. Its totient is φ = 78798451200.

The previous prime is 305344002091. The next prime is 305344002137. The reversal of 305344002120 is 21200443503.

305344002120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×305344002120³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 41037141 + ... + 41044580.

It is an arithmetic number, because the mean of its divisors is an integer number (14774709960).

Almost surely, 2^305344002120 is an apocalyptic number.

305344002120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305344002120 is an abundant number, since it is smaller than the sum of its proper divisors (640237435320).

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

305344002120 is a wasteful number, since it uses less digits than its factorization.

305344002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82081766 (or 82081762 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 305344002120 its reverse (21200443503), we get a palindrome (326544445623).

The spelling of 305344002120 in words is "three hundred five billion, three hundred forty-four million, two thousand, one hundred twenty".