Search a number
-
+
12112156022137 is a prime number
BaseRepresentation
bin1011000001000001010011…
…0000011101010101111001
31120212220120222102100112021
42300100110300131111321
53041421143420202022
641432125254514441
72360034342325543
oct260202460352571
946786528370467
1012112156022137
11394a811347296
121437500665a21
1369b22c790b22
142dc335272693
151600e94497c7
hexb0414c1d579

12112156022137 has 2 divisors, whose sum is σ = 12112156022138. Its totient is φ = 12112156022136.

The previous prime is 12112156022101. The next prime is 12112156022173. The reversal of 12112156022137 is 73122065121121.

Together with next prime (12112156022173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (12112156022101) and next prime (12112156022173).

It can be written as a sum of positive squares in only one way, i.e., 11986995026176 + 125160995961 = 3462224^2 + 353781^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112156022137 - 27 = 12112156022009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112156029137) 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, 6056078011068 + 6056078011069.

It is an arithmetic number, because the mean of its divisors is an integer number (6056078011069).

Almost surely, 212112156022137 is an apocalyptic number.

It is an amenable number.

12112156022137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112156022137 is an equidigital number, since it uses as much as digits as its factorization.

12112156022137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 12112156022137 in words is "twelve trillion, one hundred twelve billion, one hundred fifty-six million, twenty-two thousand, one hundred thirty-seven".