12033320 has 64 divisors (see below), whose sum is σ = 29650320. Its totient is φ = 4368384.

The previous prime is 12033313. The next prime is 12033323. The reversal of 12033320 is 2333021.

It can be written as a sum of positive squares in 8 ways, for example, as 917764 + 11115556 = 958^2 + 3334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12033295 and 12033304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37802 + ... + 38118.

Almost surely, 2^12033320 is an apocalyptic number.

12033320 is a gapful number since it is divisible by the number (10) 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 12033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825160).

12033320 is an abundant number, since it is smaller than the sum of its proper divisors (17617000).

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

12033320 is a wasteful number, since it uses less digits than its factorization.

12033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 12033320 is about 3468.9076090320. The cubic root of 12033320 is about 229.1545520134.

Adding to 12033320 its reverse (2333021), we get a palindrome (14366341).

The spelling of 12033320 in words is "twelve million, thirty-three thousand, three hundred twenty".