Abstract <p>In this work, we study neutrino spin oscillations in the case when they are gravitationally scattered off a rotating Kerr black hole surrounded by a thick magnetized accretion disk. We consider only toroidal magnetic field inside the disk. Neutrino spin precession is caused by the interaction of the neutrino magnetic moment with the magnetic field in the disk. Our treatment of spin oscillations of the observed neutrino fluxes, is based on numerical simulations of the propagation of a large number of incoming test neutrinos using High Performance Parallel Computing. We briefly discuss our results and their applications in the observations of astrophysical neutrinos.</p>