Here are some countries where life imprisonment is a legal sentence:

[Bicoastal]

USA
Sweden
Finland
Denmark
Australia
New Zealand
Canada
United Kingdom
Netherlands
Belgium
Luxembourg
Ireland
Japan
France
Italy
Germany
Austria
Czech Republic
Switzerland
Greece
Taiwan
Singapore
South Korea

It's true, some so-called Developed Nations (Norway, Spain, Portugal, etc.) have outlawed the practice. But we're far from the only country who does it, and many of these are considered fairly "liberal" nations.

My personal feeling: when carried out humanely, lifetime imprisonment with no chance of parole is a perfectly acceptable punishment for people who have committed criminal acts so heinous that their debt to society (and especially to their victims' families) can never be repaid.

[Recursion]

1. Though in this case, it would unfortunately be de facto life in solitary

And that is hard not to describe as inhumane and torture.

[Go Vols]

2. How many of those do the death penalty?

.

[Promethean]

3. Worth noting

I have spoken to someone from Norway and they said that people who commit the worst crimes (mass murder and such) the end of their prison sentence is more like a time to review the prisoner and decide if they should remain in prison. People like that somewhat recent right wing bomber in Norway are unlikely to ever be released.