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12123333221 is a prime number
BaseRepresentation
bin10110100101001101…
…10110001001100101
31011021220012010201112
423102212312021211
5144312033130341
65322553034405
7606266426546
oct132246661145
934256163645
1012123333221
11516133a75a
1224240b5a05
1311b288796c
148301644cd
154ae4d3aeb
hex2d29b6265

12123333221 has 2 divisors, whose sum is σ = 12123333222. Its totient is φ = 12123333220.

The previous prime is 12123333193. The next prime is 12123333223. The reversal of 12123333221 is 12233332121.

12123333221 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., 8716276321 + 3407056900 = 93361^2 + 58370^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123333221 - 222 = 12119138917 is a prime.

It is a Sophie Germain prime.

Together with 12123333223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12123333223) 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, 6061666610 + 6061666611.

It is an arithmetic number, because the mean of its divisors is an integer number (6061666611).

Almost surely, 212123333221 is an apocalyptic number.

It is an amenable number.

12123333221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123333221 is an equidigital number, since it uses as much as digits as its factorization.

12123333221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

Adding to 12123333221 its reverse (12233332121), we get a palindrome (24356665342).

The spelling of 12123333221 in words is "twelve billion, one hundred twenty-three million, three hundred thirty-three thousand, two hundred twenty-one".