To simplify \( 12^{87} \div 12^{25} \), we can use the property of exponents that states \( a^m \div a^n = a^{m-n} \).
Applying this property:
\[ 12^{87} \div 12^{25} = 12^{87 - 25} = 12^{62} \]
So, the correct answer is:
12^62 (12 to the 62nd power).