  A systematic investigation of the nuclear-polarization effects in one- and
few-electron heavy ions is presented. The nuclear-polarization corrections in
the zeroth and first orders in $1/Z$ are evaluated to the binding energies, the
hyperfine splitting, and the bound-electron g factor. It is shown, that the
nuclear-polarization contributions can be substantially canceled simultaneously
with the rigid nuclear corrections. This allows for new prospects for probing
the QED effects in strong electromagnetic field and the determination of
fundamental constants.
