It's hard to think that from a far enough distance, it would give us more than a few centuries notice atleast?

I feel like if there was, even a sun mass object, within the oort cloud, we would 1000000% know it. So if a 12x mass black hole was moving towards us, surely we'd be able to detect it. When I say shifting orbits, I'm saying very marginally, not enough of a difference, but enough to be detected to where we know something big is headed toward us.

Jupiter has a very noticeable effect on the sun, and the sun is like, 99.8% of the solar systems mass. Surely a 12x black hole would affect something enough for us to detect. Our planets/sun would surely feel it from very far away, and Im sure we would be able to detect the increasing shift due to the black hole heading towards us