12909952 has 64 divisors (see below), whose sum is σ = 28751760. Its totient is φ = 5724160.

The previous prime is 12909937. The next prime is 12909961. The reversal of 12909952 is 25990921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74538 + ... + 74710.

Almost surely, 2^12909952 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 12909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375880).

12909952 is an abundant number, since it is smaller than the sum of its proper divisors (15841808).

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

12909952 is a wasteful number, since it uses less digits than its factorization.

12909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 12909952 is about 3593.0421650740. The cubic root of 12909952 is about 234.5893053076.

It can be divided in two parts, 12909 and 952, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 12909952 in words is "twelve million, nine hundred nine thousand, nine hundred fifty-two".