Search a number
-
+
12112111321 is a prime number
BaseRepresentation
bin10110100011111000…
…00010011011011001
31011021010002000011121
423101330002123121
5144301200030241
65321512325241
7606102150622
oct132174023331
934233060147
1012112111321
115155a75562
1224203a3821
1311b0458b9b
1482c882a49
154ad518ad1
hex2d1f026d9

12112111321 has 2 divisors, whose sum is σ = 12112111322. Its totient is φ = 12112111320.

The previous prime is 12112111313. The next prime is 12112111331. The reversal of 12112111321 is 12311121121.

It is a happy number.

12112111321 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., 6080880400 + 6031230921 = 77980^2 + 77661^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112111321 - 23 = 12112111313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12112111295 and 12112111304.

It is not a weakly prime, because it can be changed into another prime (12112111331) 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, 6056055660 + 6056055661.

It is an arithmetic number, because the mean of its divisors is an integer number (6056055661).

Almost surely, 212112111321 is an apocalyptic number.

It is an amenable number.

12112111321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112111321 is an equidigital number, since it uses as much as digits as its factorization.

12112111321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 16.

Adding to 12112111321 its reverse (12311121121), we get a palindrome (24423232442).

The spelling of 12112111321 in words is "twelve billion, one hundred twelve million, one hundred eleven thousand, three hundred twenty-one".