12300441320 has 64 divisors (see below), whose sum is σ = 28605577680. Its totient is φ = 4756617216.

The previous prime is 12300441311. The next prime is 12300441323. The reversal of 12300441320 is 2314400321.

It can be written as a sum of positive squares in 8 ways, for example, as 8093881156 + 4206560164 = 89966^2 + 64858^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12300441292 and 12300441301.

It is not an unprimeable number, because it can be changed into a prime (12300441323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205892 + ... + 258828.

Almost surely, 2^12300441320 is an apocalyptic number.

12300441320 is a gapful number since it is divisible by the number (10) 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 12300441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302788840).

12300441320 is an abundant number, since it is smaller than the sum of its proper divisors (16305136360).

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

12300441320 is a wasteful number, since it uses less digits than its factorization.

12300441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53142 (or 53138 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12300441320 its reverse (2314400321), we get a palindrome (14614841641).

The spelling of 12300441320 in words is "twelve billion, three hundred million, four hundred forty-one thousand, three hundred twenty".