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12120144013 is a prime number
BaseRepresentation
bin10110100100110101…
…01011100010001101
31011021200012002221201
423102122223202031
5144310224102023
65322400425501
7606230344555
oct132232534215
934250162851
1012120144013
11515a56164a
122423018291
1311b200c163
1482d974165
154ae0a3bad
hex2d26ab88d

12120144013 has 2 divisors, whose sum is σ = 12120144014. Its totient is φ = 12120144012.

The previous prime is 12120144007. The next prime is 12120144017. The reversal of 12120144013 is 31044102121.

12120144013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7691640804 + 4428503209 = 87702^2 + 66547^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120144013 - 221 = 12118046861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120144017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060072006 + 6060072007.

It is an arithmetic number, because the mean of its divisors is an integer number (6060072007).

Almost surely, 212120144013 is an apocalyptic number.

It is an amenable number.

12120144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120144013 is an equidigital number, since it uses as much as digits as its factorization.

12120144013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12120144013 its reverse (31044102121), we get a palindrome (43164246134).

The spelling of 12120144013 in words is "twelve billion, one hundred twenty million, one hundred forty-four thousand, thirteen".