12993288 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 3294720.

The previous prime is 12993271. The next prime is 12993289. The reversal of 12993288 is 88239921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12993289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145948 + ... + 146036.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^12993288 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 12993288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

12993288 is an abundant number, since it is smaller than the sum of its proper divisors (28478712).

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

12993288 is a wasteful number, since it uses less digits than its factorization.

12993288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 12993288 is about 3604.6203683606. The cubic root of 12993288 is about 235.0929947327.

The spelling of 12993288 in words is "twelve million, nine hundred ninety-three thousand, two hundred eighty-eight".