12973312 has 72 divisors (see below), whose sum is σ = 30022272. Its totient is φ = 5529600.

The previous prime is 12973309. The next prime is 12973319. The reversal of 12973312 is 21337921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47737 + ... + 48007.

It is an arithmetic number, because the mean of its divisors is an integer number (416976).

Almost surely, 2^12973312 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 12973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011136).

12973312 is an abundant number, since it is smaller than the sum of its proper divisors (17048960).

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

12973312 is a wasteful number, since it uses less digits than its factorization.

12973312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 12973312 is about 3601.8484143562. The cubic root of 12973312 is about 234.9724548973.

It can be divided in two parts, 129 and 73312, that added together give a square (73441 = 271²).

The spelling of 12973312 in words is "twelve million, nine hundred seventy-three thousand, three hundred twelve".