12003120331121 has 2 divisors, whose sum is σ = 12003120331122. Its totient is φ = 12003120331120.

The previous prime is 12003120331091. The next prime is 12003120331123. The reversal of 12003120331121 is 12113302130021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6623875068721 + 5379245262400 = 2573689^2 + 2319320^2 .

It is a cyclic number.

It is not a de Polignac number, because 12003120331121 - 2¹⁸ = 12003120068977 is a prime.

It is a super-2 number, since 2×12003120331121² (a number of 27 digits) contains 22 as substring.

Together with 12003120331123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12003120331093 and 12003120331102.

It is not a weakly prime, because it can be changed into another prime (12003120331123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001560165560 + 6001560165561.

It is an arithmetic number, because the mean of its divisors is an integer number (6001560165561).

Almost surely, 2^{12003120331121} is an apocalyptic number.

It is an amenable number.

12003120331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12003120331121 is an equidigital number, since it uses as much as digits as its factorization.

12003120331121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12003120331121 its reverse (12113302130021), we get a palindrome (24116422461142).

The spelling of 12003120331121 in words is "twelve trillion, three billion, one hundred twenty million, three hundred thirty-one thousand, one hundred twenty-one".