12509952 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3280896.

The previous prime is 12509951. The next prime is 12509963. The reversal of 12509952 is 25990521.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12509951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69799 + ... + 69977.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^12509952 is an apocalyptic number.

12509952 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 12509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

12509952 is an abundant number, since it is smaller than the sum of its proper divisors (28697088).

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

12509952 is a wasteful number, since it uses less digits than its factorization.

12509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 12509952 is about 3536.9410512475. The cubic root of 12509952 is about 232.1410161319.

The spelling of 12509952 in words is "twelve million, five hundred nine thousand, nine hundred fifty-two".