12909456 has 100 divisors (see below), whose sum is σ = 42731392. Its totient is φ = 3685824.

The previous prime is 12909451. The next prime is 12909461. The reversal of 12909456 is 65490921.

12909456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12909451) and next prime (12909461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12909456.

It is not an unprimeable number, because it can be changed into a prime (12909451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8361 + ... + 9783.

Almost surely, 2^12909456 is an apocalyptic number.

12909456 is a gapful number since it is divisible by the number (16) 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 12909456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21365696).

12909456 is an abundant number, since it is smaller than the sum of its proper divisors (29821936).

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

12909456 is a wasteful number, since it uses less digits than its factorization.

12909456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 12909456 is about 3592.9731421206. The cubic root of 12909456 is about 234.5863009642.

The spelling of 12909456 in words is "twelve million, nine hundred nine thousand, four hundred fifty-six".