Search a number
-
+
12123132289 is a prime number
BaseRepresentation
bin10110100101001100…
…00101000110000001
31011021212210221002121
423102212011012001
5144312010213124
65322544444241
7606264632002
oct132246050601
934255727077
1012123132289
1151612127a4
122424019681
1311b2817378
148301111a9
154ae4942e4
hex2d2985181

12123132289 has 2 divisors, whose sum is σ = 12123132290. Its totient is φ = 12123132288.

The previous prime is 12123132223. The next prime is 12123132299. The reversal of 12123132289 is 98223132121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6318978064 + 5804154225 = 79492^2 + 76185^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123132289 - 221 = 12121035137 is a prime.

It is not a weakly prime, because it can be changed into another prime (12123132299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061566144 + 6061566145.

It is an arithmetic number, because the mean of its divisors is an integer number (6061566145).

Almost surely, 212123132289 is an apocalyptic number.

It is an amenable number.

12123132289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123132289 is an equidigital number, since it uses as much as digits as its factorization.

12123132289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 34.

The spelling of 12123132289 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred eighty-nine".