12306707360 has 96 divisors (see below), whose sum is σ = 31592332800. Its totient is φ = 4513121280.

The previous prime is 12306707353. The next prime is 12306707377. The reversal of 12306707360 is 6370760321.

It is a happy number.

12306707360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12306707360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28946 + ... + 159534.

It is an arithmetic number, because the mean of its divisors is an integer number (329086800).

Almost surely, 2^12306707360 is an apocalyptic number.

12306707360 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 12306707360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796166400).

12306707360 is an abundant number, since it is smaller than the sum of its proper divisors (19285625440).

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

12306707360 is a wasteful number, since it uses less digits than its factorization.

12306707360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130654 (or 130646 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The spelling of 12306707360 in words is "twelve billion, three hundred six million, seven hundred seven thousand, three hundred sixty".