I believe it is right.
However, I often get these two intuitively mixed up because:
Icosahedron: 12 points, 20 faces (and 30 edges)
Dodecahedron: 20 points, 12 faces (and 30 edges)
Icosahedron: 12 points, 20 faces (and 30 edges)
Dodecahedron: 20 points, 12 faces (and 30 edges)