12726912 has 128 divisors (see below), whose sum is σ = 38776320. Its totient is φ = 3660800.

The previous prime is 12726907. The next prime is 12726929. The reversal of 12726912 is 21962721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12726912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97087 + ... + 97217.

It is an arithmetic number, because the mean of its divisors is an integer number (302940).

Almost surely, 2^12726912 is an apocalyptic number.

12726912 is a gapful number since it is divisible by the number (12) 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 12726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388160).

12726912 is an abundant number, since it is smaller than the sum of its proper divisors (26049408).

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

12726912 is a wasteful number, since it uses less digits than its factorization.

12726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 12726912 is about 3567.4797827038. The cubic root of 12726912 is about 233.4753385023.

The spelling of 12726912 in words is "twelve million, seven hundred twenty-six thousand, nine hundred twelve".