Search a number
-
+
12079822786177 is a prime number
BaseRepresentation
bin1010111111001000110110…
…0010111100111010000001
31120202211010121201210010111
42233302031202330322001
53040403434113124202
641405221033231321
72354511161341516
oct257621542747201
946684117653114
1012079822786177
11393802a051583
121431198262541
13698178bb7a43
142da948dc730d
1515e355a866d7
hexafc8d8bce81

12079822786177 has 2 divisors, whose sum is σ = 12079822786178. Its totient is φ = 12079822786176.

The previous prime is 12079822786111. The next prime is 12079822786181. The reversal of 12079822786177 is 77168722897021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7878597789456 + 4201224996721 = 2806884^2 + 2049689^2 .

It is a cyclic number.

It is not a de Polignac number, because 12079822786177 - 219 = 12079822261889 is a prime.

It is not a weakly prime, because it can be changed into another prime (12079822786477) 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, 6039911393088 + 6039911393089.

It is an arithmetic number, because the mean of its divisors is an integer number (6039911393089).

Almost surely, 212079822786177 is an apocalyptic number.

It is an amenable number.

12079822786177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12079822786177 is an equidigital number, since it uses as much as digits as its factorization.

12079822786177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66382848, while the sum is 67.

The spelling of 12079822786177 in words is "twelve trillion, seventy-nine billion, eight hundred twenty-two million, seven hundred eighty-six thousand, one hundred seventy-seven".