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12123377069 is a prime number
BaseRepresentation
bin10110100101001110…
…00000110110101101
31011021220021100212112
423102213000312231
5144312041031234
65322554013405
7606300001436
oct132247006655
934256240775
1012123377069
11516136a6a1
122424117265
1311b28a18cb
1483017648d
154ae4e1ace
hex2d29c0dad

12123377069 has 2 divisors, whose sum is σ = 12123377070. Its totient is φ = 12123377068.

The previous prime is 12123377041. The next prime is 12123377089. The reversal of 12123377069 is 96077332121.

12123377069 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., 12108361444 + 15015625 = 110038^2 + 3875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123377069 is a prime.

It is a super-2 number, since 2×121233770692 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain 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 (12123377009) 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, 6061688534 + 6061688535.

It is an arithmetic number, because the mean of its divisors is an integer number (6061688535).

Almost surely, 212123377069 is an apocalyptic number.

It is an amenable number.

12123377069 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123377069 is an equidigital number, since it uses as much as digits as its factorization.

12123377069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 41.

The spelling of 12123377069 in words is "twelve billion, one hundred twenty-three million, three hundred seventy-seven thousand, sixty-nine".