Search a number
-
+
12122203312231 is a prime number
BaseRepresentation
bin1011000001100110101110…
…0111110101000001100111
31120220212112012011120110121
42300121223213311001213
53042102233021442411
641440510251102411
72360541333020515
oct260315347650147
946825465146417
1012122203312231
113953aa7821021
121439445441a07
1369c1711c80ac
142dca097c54b5
151604d6549571
hexb066b9f5067

12122203312231 has 2 divisors, whose sum is σ = 12122203312232. Its totient is φ = 12122203312230.

The previous prime is 12122203312201. The next prime is 12122203312253. The reversal of 12122203312231 is 13221330222121.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12122203312231 - 233 = 12113613377639 is a prime.

It is a super-2 number, since 2×121222033122312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122203312196 and 12122203312205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122203312201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061101656115 + 6061101656116.

It is an arithmetic number, because the mean of its divisors is an integer number (6061101656116).

Almost surely, 212122203312231 is an apocalyptic number.

12122203312231 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122203312231 is an equidigital number, since it uses as much as digits as its factorization.

12122203312231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12122203312231 its reverse (13221330222121), we get a palindrome (25343533534352).

The spelling of 12122203312231 in words is "twelve trillion, one hundred twenty-two billion, two hundred three million, three hundred twelve thousand, two hundred thirty-one".