We don't have very good or accurate sources on what happened to the 12 apostles after Jesus' death. Much of it is tradition as recorded second-hand in a few sources. So anything I write here is simply telling you what is in the primary sources that we have, with not a huge deal of certainty

Hippolytus of Rome is one of those sources, along with Eusebius' Ecclesiastical History

Here is what is recorded:

James, brother of John, son of Zebedee: decapitated by Herod Agrippa (Acts 12:2, see also Hippolytus, and Eusebius EH 3.5

James, son of Alphaeus: stoned to death in Jerusalem (Hippolytus)

Andrew: preached to the Scythians and Thracians (in modern day Georgia and Bulgaria), was crucified on an olive tree at Patrae in Greece (Hippolytus)

Bartholomew (Nathanael): preached in India and was crucified upside down, buried in Allanum (southern Georgia) (acc to Hippolytus). Alternatively, Eusebius records that a certain Pantaenus from Alexandria had visited India and found Christians there with a Hebrew language version of the Gospel of Matthew given to them by Bartholomew.

Matthew/Levi: died at Hierees, Parthia (acc to Hippolytus). Possibly beheaded.

Simon Peter: Irenaeus puts Peter in Rome (Against Heresies 3.1). Eusebius says he was crucified under Nero. Hippolytus also records crucifixion, upside down, under Nero.

Philip: preached and crucified upside down in Phrygia, during the reign of Domitian (Hippolytus)

Simon the Zealot: died in Jerusalem at 120 years old (Hippolytus)

Thaddaeus/Judas son of James: preached to Edessa, through Mesopotamia, and died at Berytus (Hippolytus)

Thomas: preaches through the Parthian empire all the way to India, where he was killed by a pine spear (Hippolytus)

John, son of Zebedee: believed to have died of old age. Hippolytus records his exile to Patmos, and his death in the time of Trajan. Tertullian records a tradition that they attempted to boil him alive but to no avail.