12033013122333 has 64 divisors (see below), whose sum is σ = 21122007360000. Its totient is φ = 6624375270912.

The previous prime is 12033013122329. The next prime is 12033013122341. The reversal of 12033013122333 is 33322131033021.

12033013122333 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 301 + 3 + 1 + 22 + 333 = 666.

It is not a de Polignac number, because 12033013122333 - 2² = 12033013122329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12033013122297 and 12033013122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033013122343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102843 + ... + 4906791.

It is an arithmetic number, because the mean of its divisors is an integer number (330031365000).

Almost surely, 2^{12033013122333} is an apocalyptic number.

It is an amenable number.

12033013122333 is a deficient number, since it is larger than the sum of its proper divisors (9088994237667).

12033013122333 is a wasteful number, since it uses less digits than its factorization.

12033013122333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804451 (or 4804445 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12033013122333 its reverse (33322131033021), we get a palindrome (45355144155354).

The spelling of 12033013122333 in words is "twelve trillion, thirty-three billion, thirteen million, one hundred twenty-two thousand, three hundred thirty-three".