12975312 has 120 divisors (see below), whose sum is σ = 40594624. Its totient is φ = 3497472.

The previous prime is 12975257. The next prime is 12975317. The reversal of 12975312 is 21357921.

12975312 = T₁₃ + T₁₄ + ... + T₄₂₆.

Its product of digits (3780) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 12975312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12975317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177708 + ... + 177780.

Almost surely, 2^12975312 is an apocalyptic number.

12975312 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 12975312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20297312).

12975312 is an abundant number, since it is smaller than the sum of its proper divisors (27619312).

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

12975312 is a wasteful number, since it uses less digits than its factorization.

12975312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 12975312 is about 3602.1260388831. The cubic root of 12975312 is about 234.9845289347.

The spelling of 12975312 in words is "twelve million, nine hundred seventy-five thousand, three hundred twelve".