Search a number
-
+
12221002220369 is a prime number
BaseRepresentation
bin1011000111010110110001…
…1111110000001101010001
31121021022112122202010102112
42301311230133300031101
53100212103032022434
641554130110355105
72400636553622465
oct261655437601521
947238478663375
1012221002220369
113991997175018
121454618abba95
136a8587c20397
143036dd1104a5
15162d6a0cedce
hexb1d6c7f0351

12221002220369 has 2 divisors, whose sum is σ = 12221002220370. Its totient is φ = 12221002220368.

The previous prime is 12221002220293. The next prime is 12221002220411. The reversal of 12221002220369 is 96302220012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6656064604225 + 5564937616144 = 2579935^2 + 2359012^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221002220369 - 240 = 11121490592593 is a prime.

It is a super-2 number, since 2×122210022203692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12221002220269) 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, 6110501110184 + 6110501110185.

It is an arithmetic number, because the mean of its divisors is an integer number (6110501110185).

Almost surely, 212221002220369 is an apocalyptic number.

It is an amenable number.

12221002220369 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221002220369 is an equidigital number, since it uses as much as digits as its factorization.

12221002220369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 12221002220369 in words is "twelve trillion, two hundred twenty-one billion, two million, two hundred twenty thousand, three hundred sixty-nine".