Search a number
-
+
12210012021281 is a prime number
BaseRepresentation
bin1011000110101101110101…
…1011011110001000100001
31121020021011201202011111212
42301223131123132020201
53100022101034140111
641545111352315505
72400100323516644
oct261533533361041
947207151664455
1012210012021281
113988267520858
1214524703a2b95
136a7526047ab9
14302d79671a5b
1516292532998b
hexb1add6de221

12210012021281 has 2 divisors, whose sum is σ = 12210012021282. Its totient is φ = 12210012021280.

The previous prime is 12210012021191. The next prime is 12210012021283. The reversal of 12210012021281 is 18212021001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12197444490256 + 12567531025 = 3492484^2 + 112105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210012021281 is a prime.

It is a super-2 number, since 2×122100120212812 (a number of 27 digits) contains 22 as substring.

Together with 12210012021283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12210012021283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105006010640 + 6105006010641.

It is an arithmetic number, because the mean of its divisors is an integer number (6105006010641).

Almost surely, 212210012021281 is an apocalyptic number.

It is an amenable number.

12210012021281 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210012021281 is an equidigital number, since it uses as much as digits as its factorization.

12210012021281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 12210012021281 in words is "twelve trillion, two hundred ten billion, twelve million, twenty-one thousand, two hundred eighty-one".