We present full CI results for the magnetizability and rotational g factor of the hydrogen molecule. Convergence of the results with respect to the size of the one-particle basis has been considered, as well as corrections for rovibrational effects. Our results at T = 300 K are: (-67.13 +/- 0.04).10 - 3 0 JT - 2 for the isotropic magnetizability, (8.91 +/- 0.03).10 - 3 0 JT - 2 for the magnetizability anisotropy and 0.8817 +/- 0.0002 for the rotational g factor. The results are compared with molecular beam experiments and other theoretical results.