Search a number
-
+
12212120069 is a prime number
BaseRepresentation
bin10110101111110011…
…00010101000000101
31011112002020222101022
423113321202220011
5200002300320234
65335444040525
7611425210412
oct132771425005
934462228338
1012212120069
1151a7472616
122449993145
1311c80a3666
1483bc77109
154b71c0e2e
hex2d7e62a05

12212120069 has 2 divisors, whose sum is σ = 12212120070. Its totient is φ = 12212120068.

The previous prime is 12212120033. The next prime is 12212120071. The reversal of 12212120069 is 96002121221.

12212120069 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., 12014352100 + 197767969 = 109610^2 + 14063^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212120069 - 220 = 12211071493 is a prime.

It is a super-2 number, since 2×122121200692 (a number of 21 digits) contains 22 as substring.

Together with 12212120071, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12212140069) 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, 6106060034 + 6106060035.

It is an arithmetic number, because the mean of its divisors is an integer number (6106060035).

Almost surely, 212212120069 is an apocalyptic number.

It is an amenable number.

12212120069 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212120069 is an equidigital number, since it uses as much as digits as its factorization.

12212120069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 12212120069 in words is "twelve billion, two hundred twelve million, one hundred twenty thousand, sixty-nine".