The conserved quantity is mass-energy.
A particle at rest has only (rest) mass.
A particle near the speed of light, such as a typical neutrino, has some rest mass (with Erest$E_{rest}$ given by mrest*c^2$m_{rest}c^2$) and kinetic energy K >> Erest$K \gg E_{rest}$.
A massless particle, such as a photon, has no rest mass, no Erest$E_{rest}$, only its "kinetic" energy pc (=hc/lambda)$pc = \frac{hc}{\lambda}$.
In a collision where some particles are destroyed and others created, the total mass-energy is conserved, but it can be distributed in various combinations of rest masses and kinetic energies.