Which LMS works best with Articulate storyline

I try again and see if anyone can help me find the best lms that works together with storyline. Here is what I need:
I make severel courses and sell to a lot of companys. The companys can buy one or more courses for all their stuff but they can also decide that some employees is going to do one course and som other persons will do other courses.

When I put in a new user in the system I want to be able to tell when the first reminder is going to be send and then I want it to be sent automaticly at that date if the person has´nt done the course.
I want to be able to decide the text in the reminder.
I want to decide that reminders should be sent on and on again until the person has done the course. Of cause without me having to do something.
I want to be able to set how many reminders that should be sent before you give up.
I want to be able to decide different text in different reminders.
If a person is going to do more than one course it must be possible that remind that person in just one mail.
When you have reached the number of reminders that you have decide I want the person to be put as "none active". Automatic of course...
I want to be able to see statistics over when a person has got the invitation and how many reminders the system have sent.
I want to be able to see how many courses my users has done in total and by company.
I want to be able to send an extra reminder to all users in one course, regardless what company they belong to but I also want to be able to not choose some of the users. 
I want to be able to sent out statistics to all the companys that by courses for their stuff in a really simple way. One button that send correct statistics to all compays would be the dream. 

And of course I want my users to be able to do their courses on both smartphones, I pads and laptops.

And I probably have a lot of more I want but to start with...