12681306 has 64 divisors (see below), whose sum is σ = 31628160. Its totient is φ = 3732480.

The previous prime is 12681299. The next prime is 12681307. The reversal of 12681306 is 60318621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12681306.

It is not an unprimeable number, because it can be changed into a prime (12681307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21690 + ... + 22266.

It is an arithmetic number, because the mean of its divisors is an integer number (494190).

Almost surely, 2^12681306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12681306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814080).

12681306 is an abundant number, since it is smaller than the sum of its proper divisors (18946854).

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

12681306 is a wasteful number, since it uses less digits than its factorization.

12681306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12681306 is about 3561.0821389010. The cubic root of 12681306 is about 233.1961238662.

Adding to 12681306 its reverse (60318621), we get a palindrome (72999927).

The spelling of 12681306 in words is "twelve million, six hundred eighty-one thousand, three hundred six".