Search a number
-
+
12121112323273 is a prime number
BaseRepresentation
bin1011000001100010101010…
…0110000010010011001001
31120220202201011021120222011
42300120222212002103021
53042043014223321043
641440210115255521
72360502314534632
oct260305246022311
946822634246864
1012121112323273
113953597a00958
12143919bbaa5a1
1369c029180ab5
142dc944950889
1516047089359d
hexb062a9824c9

12121112323273 has 2 divisors, whose sum is σ = 12121112323274. Its totient is φ = 12121112323272.

The previous prime is 12121112323193. The next prime is 12121112323337. The reversal of 12121112323273 is 37232321112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8680966537104 + 3440145786169 = 2946348^2 + 1854763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121112323273 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121112323373) 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, 6060556161636 + 6060556161637.

It is an arithmetic number, because the mean of its divisors is an integer number (6060556161637).

Almost surely, 212121112323273 is an apocalyptic number.

It is an amenable number.

12121112323273 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121112323273 is an equidigital number, since it uses as much as digits as its factorization.

12121112323273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

Adding to 12121112323273 its reverse (37232321112121), we get a palindrome (49353433435394).

The spelling of 12121112323273 in words is "twelve trillion, one hundred twenty-one billion, one hundred twelve million, three hundred twenty-three thousand, two hundred seventy-three".