12133033 has 12 divisors (see below), whose sum is σ = 13430340. Its totient is φ = 10952480.

The previous prime is 12133031. The next prime is 12133061. The reversal of 12133033 is 33033121.

It can be written as a sum of positive squares in 2 ways, for example, as 11108889 + 1024144 = 3333^2 + 1012^2 .

It is not a de Polignac number, because 12133033 - 2¹ = 12133031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132998 and 12133016.

It is not an unprimeable number, because it can be changed into a prime (12133031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23583 + ... + 24091.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 2^12133033 is an apocalyptic number.

It is an amenable number.

12133033 is a deficient number, since it is larger than the sum of its proper divisors (1297307).

12133033 is a wasteful number, since it uses less digits than its factorization.

12133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 12133033 is about 3483.2503498887. The cubic root of 12133033 is about 229.7857677503.

Adding to 12133033 its reverse (33033121), we get a palindrome (45166154).

It can be divided in two parts, 121 and 33033, that multiplied together give a palindrome (3996993).

The spelling of 12133033 in words is "twelve million, one hundred thirty-three thousand, thirty-three".