12031200133201 has 2 divisors, whose sum is σ = 12031200133202. Its totient is φ = 12031200133200.

The previous prime is 12031200133189. The next prime is 12031200133261. The reversal of 12031200133201 is 10233100213021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6269515210000 + 5761684923201 = 2503900^2 + 2400351^2 .

It is a cyclic number.

It is not a de Polignac number, because 12031200133201 - 2²¹ = 12031198036049 is a prime.

It is not a weakly prime, because it can be changed into another prime (12031200133261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6015600066600 + 6015600066601.

It is an arithmetic number, because the mean of its divisors is an integer number (6015600066601).

Almost surely, 2^{12031200133201} is an apocalyptic number.

It is an amenable number.

12031200133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031200133201 is an equidigital number, since it uses as much as digits as its factorization.

12031200133201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12031200133201 its reverse (10233100213021), we get a palindrome (22264300346222).

The spelling of 12031200133201 in words is "twelve trillion, thirty-one billion, two hundred million, one hundred thirty-three thousand, two hundred one".