12033312 has 48 divisors (see below), whose sum is σ = 31822560. Its totient is φ = 3981312.

The previous prime is 12033299. The next prime is 12033313. The reversal of 12033312 is 21333021.

12033312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12033291 and 12033300.

It is not an unprimeable number, because it can be changed into a prime (12033313) 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, 15264 + ... + 16032.

It is an arithmetic number, because the mean of its divisors is an integer number (662970).

Almost surely, 2^12033312 is an apocalyptic number.

12033312 is a gapful number since it is divisible by the number (12) 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 12033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911280).

12033312 is an abundant number, since it is smaller than the sum of its proper divisors (19789248).

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

12033312 is a wasteful number, since it uses less digits than its factorization.

12033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 12033312 is about 3468.9064559310. The cubic root of 12033312 is about 229.1545012312.

Adding to 12033312 its reverse (21333021), we get a palindrome (33366333).

The spelling of 12033312 in words is "twelve million, thirty-three thousand, three hundred twelve".