I love Microsoft Word, but it can't do that.For that sort of thing, Word Perfect seems ideal.
You do it up on a Landscape Page (Sideways) and sub-divide it. Once you're finished inputting all the text and formatting of it, including a cover page/illustration, you can print it as a booklet.
WordPerfect then takes care of all the positioning to get it to print so you have the COVER and the last page together, with the first page and the second-to-last page on the next page, etc. Note, you must have the pages (including cover and last page/back cover, totalling a multiple of four. Note, you can print just the odds and then re-insert the paper to print on the back-side of the paper.
It REALLY works well.
I've used it for printing a 122 page Carol and Christmas Song book (for church)among others.
It does the same in both Windows AND Linux versions. Everything is in different spots, but it works the same.