Let \( P=\sum_{n=1}^{10} n\left\{\frac{1^{2}}{1+n}+\frac{2^{2}}{2+n}+\ldots . .+\frac{10^{2}}{10+n}\right\} \) then which of the following is/are correct?
(A) \( 2 P \) is perfect square
(C) Number of divisors of \( 2 P \) is 9
(B) \( 2 P \) is divisible by \( 11^{2} \)
(D) The remainder when \( 2 P \) is divided by 6 is 1 .
