12933144 has 96 divisors (see below), whose sum is σ = 40734720. Its totient is φ = 3630528.

The previous prime is 12933133. The next prime is 12933149. The reversal of 12933144 is 44133921.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12933149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33577 + ... + 33959.

It is an arithmetic number, because the mean of its divisors is an integer number (424320).

Almost surely, 2^12933144 is an apocalyptic number.

12933144 is a gapful number since it is divisible by the number (14) 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 12933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367360).

12933144 is an abundant number, since it is smaller than the sum of its proper divisors (27801576).

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

12933144 is a wasteful number, since it uses less digits than its factorization.

12933144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12933144 is about 3596.2680656481. The cubic root of 12933144 is about 234.7296967541.

It can be divided in two parts, 12 and 933144, that added together give a square (933156 = 966²).

The spelling of 12933144 in words is "twelve million, nine hundred thirty-three thousand, one hundred forty-four".