When something is both tough and difficult. It implies that something is such a problem that it is both physically and mentally draining. However, it can be used in the humorous sense that something isn't tough or difficult but is tedious specifically for that person stating it.
Luke: "This year sucked man."
Adam: "Yeah man, having to move houses and being laid off. That's intense."
Luke: "Yup, it was pretty toughicult."
It is said of the situation where a person has the bad luck to make contact with his testicles against an undefined surface or object, intentioned or not.
Given the nature of the word, it is more appropriate to design cases where the interaction is made with a moving object, for example, a ball.
Although it is extremely painful for the victim, it tends to be considerably funny to people who witness it.
Today in the baseball game the pitcher took a nutshot; the baseball hit him in the nuts.
Man, I just watched the funniest nutshot video ever.