  We classify good Z-gradings of basic Lie superalgebras over an algebraically
closed field of characteristic zero. Good Z-gradings are used in quantum
Hamiltonian reduction for affine Lie superalgebras, where they play a role in
the construction of super W-algebras. We also describe the centralizer of a
nilpotent even element and of an sl(2)-triple in gl(m|n) and osp(m|2n).
