12306 has 16 divisors (see below), whose sum is σ = 28224. Its totient is φ = 3504.

The previous prime is 12301. The next prime is 12323. The reversal of 12306 is 60321.

12306 = T₆ + T₇ + ... + T₄₁.

It is a junction number, because it is equal to n+sod(n) for n = 12291 and 12300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301) by changing a digit.

12306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2¹²³⁰⁶ is an apocalyptic number.

12306 is an abundant number, since it is smaller than the sum of its proper divisors (15918).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

12306 is a wasteful number, since it uses less digits than its factorization.

12306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12306 is about 110.9324118551. The cubic root of 12306 is about 23.0872552024.

Adding to 12306 its reverse (60321), we get a palindrome (72627).

The spelling of 12306 in words is "twelve thousand, three hundred six".