12002122133033 has 2 divisors, whose sum is σ = 12002122133034. Its totient is φ = 12002122133032.

The previous prime is 12002122132993. The next prime is 12002122133201. The reversal of 12002122133033 is 33033122120021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8323409641024 + 3678712492009 = 2885032^2 + 1917997^2 .

It is an emirp because it is prime and its reverse (33033122120021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002122133033 - 2³⁶ = 11933402656297 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002122733033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001061066516 + 6001061066517.

It is an arithmetic number, because the mean of its divisors is an integer number (6001061066517).

Almost surely, 2^{12002122133033} is an apocalyptic number.

It is an amenable number.

12002122133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002122133033 is an equidigital number, since it uses as much as digits as its factorization.

12002122133033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12002122133033 its reverse (33033122120021), we get a palindrome (45035244253054).

The spelling of 12002122133033 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred thirty-three thousand, thirty-three".