That's more a range for a different instrument, like a DAQ, a fast logging DMM, a soundcard if it's AC only.
Now, you are talking about 200Sa/s, 24kpts. Normal memory depth in DS1052E is 16kpts for a single channel in normal length memory, long memory does support much more, so you can't use that in normal mode but you can using the long memory option. It does say it supports 50s/div which should cover your 120s in less than three divisions, I haven't used the 1052E but if you turn the horizontal scale control on yours it should get there eventually, maybe it doesn't do that in normal operation and only in scan mode... In any case the datasheet isn't celar about it because it does mention 1052X in that spec but I don't know if it's using X to reference any model or why.
JS