Search a number
-
+
12200000222177 is a prime number
BaseRepresentation
bin1011000110001000100010…
…1011011111001111100001
31121012022022222210002001122
42301202020223133033201
53044341100024102202
641540334104542025
72366264243603165
oct261421053371741
947168288702048
1012200000222177
113983a9a087a19
121450537481915
136a65bba88c11
143026a9b1aca5
1516253b3da9a2
hexb1888adf3e1

12200000222177 has 2 divisors, whose sum is σ = 12200000222178. Its totient is φ = 12200000222176.

The previous prime is 12200000222173. The next prime is 12200000222251. The reversal of 12200000222177 is 77122200000221.

12200000222177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11259272874256 + 940727347921 = 3355484^2 + 969911^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200000222177 - 22 = 12200000222173 is a prime.

It is a super-2 number, since 2×122000002221772 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12200000222171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100000111088 + 6100000111089.

It is an arithmetic number, because the mean of its divisors is an integer number (6100000111089).

Almost surely, 212200000222177 is an apocalyptic number.

It is an amenable number.

12200000222177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200000222177 is an equidigital number, since it uses as much as digits as its factorization.

12200000222177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1568, while the sum is 26.

Adding to 12200000222177 its reverse (77122200000221), we get a palindrome (89322200222398).

The spelling of 12200000222177 in words is "twelve trillion, two hundred billion, two hundred twenty-two thousand, one hundred seventy-seven".