The part about not losing your job is true. The six weeks are mandated by law, it’s how long your employer has to pay your full salary. After that your health insurance will pick up the bill, paying “Krankengeld”. This is limited to 78 weeks within a three year span. Krankengeld is limited to 70% of your income before taxes.

It’s a bit misleading to count the public holidays which are always on a Sunday. The normal maximum you can get with days that can fall on a weekday is 14 in the city of Augsburg.

And the number of sick days is not unlimited. The cause for the illness/injury must not be your fault. And then it’s limited to six continuous weeks for the same cause. It’s a bit more complex, but the gist is that it’s not unlimited.