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12123342289 is a prime number
BaseRepresentation
bin10110100101001101…
…11000010111010001
31011021220012121011101
423102212320113101
5144312033423124
65322553144401
7606266465152
oct132246702721
934256177141
1012123342289
115161346553
1224240bb101
1311b288bb26
14830167929
154ae4d6644
hex2d29b85d1

12123342289 has 2 divisors, whose sum is σ = 12123342290. Its totient is φ = 12123342288.

The previous prime is 12123342227. The next prime is 12123342307. The reversal of 12123342289 is 98224332121.

12123342289 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., 11619115264 + 504227025 = 107792^2 + 22455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123342289 is a prime.

It is not a weakly prime, because it can be changed into another prime (12124342289) 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, 6061671144 + 6061671145.

It is an arithmetic number, because the mean of its divisors is an integer number (6061671145).

Almost surely, 212123342289 is an apocalyptic number.

It is an amenable number.

12123342289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123342289 is an equidigital number, since it uses as much as digits as its factorization.

12123342289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 37.

The spelling of 12123342289 in words is "twelve billion, one hundred twenty-three million, three hundred forty-two thousand, two hundred eighty-nine".