Search a number
-
+
12128412073 is a prime number
BaseRepresentation
bin10110100101110100…
…01110000110101001
31011022020202011121011
423102322032012221
5144314333141243
65323253543521
7606360541651
oct132272160651
934266664534
1012128412073
115164199558
122425944ba1
1311b39455bb
14830ac7361
154aeb8889d
hex2d2e8e1a9

12128412073 has 2 divisors, whose sum is σ = 12128412074. Its totient is φ = 12128412072.

The previous prime is 12128412067. The next prime is 12128412097. The reversal of 12128412073 is 37021482121.

12128412073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10222827664 + 1905584409 = 101108^2 + 43653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12128412073 is a prime.

It is not a weakly prime, because it can be changed into another prime (12128412013) 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, 6064206036 + 6064206037.

It is an arithmetic number, because the mean of its divisors is an integer number (6064206037).

Almost surely, 212128412073 is an apocalyptic number.

It is an amenable number.

12128412073 is a deficient number, since it is larger than the sum of its proper divisors (1).

12128412073 is an equidigital number, since it uses as much as digits as its factorization.

12128412073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 12128412073 its reverse (37021482121), we get a palindrome (49149894194).

The spelling of 12128412073 in words is "twelve billion, one hundred twenty-eight million, four hundred twelve thousand, seventy-three".