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12123231457 is a prime number
BaseRepresentation
bin10110100101001100…
…11101010011100001
31011021212222222010111
423102212131103201
5144312021401312
65322550531321
7606265524061
oct132246352341
934255888114
1012123231457
115161280257
122424066b41
1311b285054c
148301393a1
154ae4b38a7
hex2d299d4e1

12123231457 has 2 divisors, whose sum is σ = 12123231458. Its totient is φ = 12123231456.

The previous prime is 12123231383. The next prime is 12123231467. The reversal of 12123231457 is 75413232121.

12123231457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10422163921 + 1701067536 = 102089^2 + 41244^2 .

It is an emirp because it is prime and its reverse (75413232121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12123231457 - 219 = 12122707169 is a prime.

It is not a weakly prime, because it can be changed into another prime (12123231467) 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, 6061615728 + 6061615729.

It is an arithmetic number, because the mean of its divisors is an integer number (6061615729).

Almost surely, 212123231457 is an apocalyptic number.

It is an amenable number.

12123231457 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123231457 is an equidigital number, since it uses as much as digits as its factorization.

12123231457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

Adding to 12123231457 its reverse (75413232121), we get a palindrome (87536463578).

The spelling of 12123231457 in words is "twelve billion, one hundred twenty-three million, two hundred thirty-one thousand, four hundred fifty-seven".