Search a number
-
+
12224415014969 is a prime number
BaseRepresentation
bin1011000111100011011111…
…1010100010000000111001
31121021122100111112001111112
42301320313322202000321
53100241100220434334
641555452502410105
72401120254116123
oct261706772420071
947248314461445
1012224415014969
11399338864a123
12145520ba30935
136a89acca5a81
1430394448c213
15162eb9a134ce
hexb1e37ea2039

12224415014969 has 2 divisors, whose sum is σ = 12224415014970. Its totient is φ = 12224415014968.

The previous prime is 12224415014831. The next prime is 12224415014971. The reversal of 12224415014969 is 96941051442221.

12224415014969 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., 8055447356944 + 4168967658025 = 2838212^2 + 2041805^2 .

It is a cyclic number.

It is not a de Polignac number, because 12224415014969 - 240 = 11124903387193 is a prime.

It is a super-2 number, since 2×122244150149692 (a number of 27 digits) contains 22 as substring.

Together with 12224415014971, 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 (12224315014969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6112207507484 + 6112207507485.

It is an arithmetic number, because the mean of its divisors is an integer number (6112207507485).

Almost surely, 212224415014969 is an apocalyptic number.

It is an amenable number.

12224415014969 is a deficient number, since it is larger than the sum of its proper divisors (1).

12224415014969 is an equidigital number, since it uses as much as digits as its factorization.

12224415014969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 12224415014969 in words is "twelve trillion, two hundred twenty-four billion, four hundred fifteen million, fourteen thousand, nine hundred sixty-nine".