Understanding the various aspects, and even the qualitative structure of phase diagrams of interacting many-body systems in the presence of static disorder still poses a big challenge. In this context, and in view of the woefully short list of rigorous results on disordered systems with interaction, limiting or integrable model systems present a testing ground for numerical works, conjectures and ideas. The Tonks-Girardeau gas subject to a random external potential is such an example. In this talk I will give an overview of results obtained recently for this model. (Based on joint works with R. Sims and R. Seiringer).