Search a number
-
+
12202647724777 is a prime number
BaseRepresentation
bin1011000110010010011001…
…1110111010001011101001
31121012120011111112010212111
42301210212132322023221
53044412010304143102
641541452522042321
72366416662160516
oct261444636721351
947176144463774
1012202647724777
1139851285778a4
121450b560493a1
136a69214215c3
1430287b5a630d
15162643a50cd7
hexb19267ba2e9

12202647724777 has 2 divisors, whose sum is σ = 12202647724778. Its totient is φ = 12202647724776.

The previous prime is 12202647724759. The next prime is 12202647724781. The reversal of 12202647724777 is 77742774620221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11848493002896 + 354154721881 = 3442164^2 + 595109^2 .

It is an emirp because it is prime and its reverse (77742774620221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12202647724777 - 227 = 12202513507049 is a prime.

It is a super-2 number, since 2×122026477247772 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12202647724727) 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, 6101323862388 + 6101323862389.

It is an arithmetic number, because the mean of its divisors is an integer number (6101323862389).

Almost surely, 212202647724777 is an apocalyptic number.

It is an amenable number.

12202647724777 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202647724777 is an equidigital number, since it uses as much as digits as its factorization.

12202647724777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25815552, while the sum is 58.

The spelling of 12202647724777 in words is "twelve trillion, two hundred two billion, six hundred forty-seven million, seven hundred twenty-four thousand, seven hundred seventy-seven".