12681504 has 72 divisors (see below), whose sum is σ = 39351312. Its totient is φ = 3841920.

The previous prime is 12681503. The next prime is 12681509. The reversal of 12681504 is 40518621.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12681503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167 + ... + 5169.

It is an arithmetic number, because the mean of its divisors is an integer number (546546).

Almost surely, 2^12681504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675656).

12681504 is an abundant number, since it is smaller than the sum of its proper divisors (26669808).

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

12681504 is a wasteful number, since it uses less digits than its factorization.

12681504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12681504 is about 3561.1099393307. The cubic root of 12681504 is about 233.1973375318.

It can be divided in two parts, 1268 and 1504, that added together give a palindrome (2772).

The spelling of 12681504 in words is "twelve million, six hundred eighty-one thousand, five hundred four".