12665952 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3649536.

The previous prime is 12665941. The next prime is 12665957. The reversal of 12665952 is 25956621.

12665952 is a `hidden beast` number, since 1 + 2 + 66 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12665957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63549 + ... + 63747.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^12665952 is an apocalyptic number.

12665952 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 12665952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

12665952 is an abundant number, since it is smaller than the sum of its proper divisors (28611648).

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

12665952 is a wasteful number, since it uses less digits than its factorization.

12665952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 12665952 is about 3558.9256805952. The cubic root of 12665952 is about 233.1019711216.

The spelling of 12665952 in words is "twelve million, six hundred sixty-five thousand, nine hundred fifty-two".