12765312 has 96 divisors (see below), whose sum is σ = 42007680. Its totient is φ = 3644928.

The previous prime is 12765301. The next prime is 12765323. The reversal of 12765312 is 21356721.

It is a happy number.

12765312 is a `hidden beast` number, since 1 + 2 + 7 + 653 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12765301) and next prime (12765323).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 6.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7273 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (437580).

Almost surely, 2^12765312 is an apocalyptic number.

12765312 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 12765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003840).

12765312 is an abundant number, since it is smaller than the sum of its proper divisors (29242368).

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

12765312 is a wasteful number, since it uses less digits than its factorization.

12765312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1595 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 12765312 is about 3572.8576797852. The cubic root of 12765312 is about 233.7099188714.

The spelling of 12765312 in words is "twelve million, seven hundred sixty-five thousand, three hundred twelve".