12993312 has 24 divisors (see below), whose sum is σ = 34107696. Its totient is φ = 4331072.

The previous prime is 12993311. The next prime is 12993313. The reversal of 12993312 is 21339921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12993311) and next prime (12993313).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12993312.

It is not an unprimeable number, because it can be changed into a prime (12993311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67578 + ... + 67769.

It is an arithmetic number, because the mean of its divisors is an integer number (1421154).

Almost surely, 2^12993312 is an apocalyptic number.

12993312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12993312 is an abundant number, since it is smaller than the sum of its proper divisors (21114384).

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

12993312 is a wasteful number, since it uses less digits than its factorization.

12993312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135360 (or 135352 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 12993312 is about 3604.6236974197. The cubic root of 12993312 is about 235.0931394800.

The spelling of 12993312 in words is "twelve million, nine hundred ninety-three thousand, three hundred twelve".