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12121224289 is a prime number
BaseRepresentation
bin10110100100111101…
…10011010001100001
31011021202012222210221
423102132303101201
5144311013134124
65322435523041
7606242464216
oct132236632141
934252188727
1012121224289
11516012a239
122423459481
1311b22c9a85
1482db75b0d
154ae218ce4
hex2d27b3461

12121224289 has 2 divisors, whose sum is σ = 12121224290. Its totient is φ = 12121224288.

The previous prime is 12121224263. The next prime is 12121224307. The reversal of 12121224289 is 98242212121.

12121224289 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., 8758152225 + 3363072064 = 93585^2 + 57992^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121224289 - 225 = 12087669857 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121224239) 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, 6060612144 + 6060612145.

It is an arithmetic number, because the mean of its divisors is an integer number (6060612145).

Almost surely, 212121224289 is an apocalyptic number.

It is an amenable number.

12121224289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121224289 is an equidigital number, since it uses as much as digits as its factorization.

12121224289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 34.

The spelling of 12121224289 in words is "twelve billion, one hundred twenty-one million, two hundred twenty-four thousand, two hundred eighty-nine".