‘up’ is most commonly used as a part of phrasal verbs.
1 UP (RP) adverb particle:
1 SET UP 1105960
with the State Committee for Scientific Research in Moscow.
2 IT UP 713509
1 PICK IT UP 40589
We just need him to pick it up,
2 SET IT UP 36490
3 KEEP IT UP 21494
4 PICKED IT UP 17053
5 LOOK IT UP 15808
6 BACK IT UP 14209
7 MIX IT UP 13670
8 BRING IT UP 10387
9 GIVE IT UP 10122
10 OPEN IT UP 9877
11 CLEAN IT UP 9844
12 PUT IT UP 8792
13 SUCK IT UP 7618
14 MAKE IT UP 7192
15 SETTING IT UP 6931
16 LOOKED IT UP 6338
17 FILL IT UP 6185
18 SUM IT UP 6040
19 TAKE IT UP 5980
20 SUMS IT UP 5934
3 END UP 618471
4 PICK UP 526637
5 COME UP 419888
6 ENDED UP 401178
7 PICKED UP 332784
8 MAKE UP 311322
9 SIGN UP 310690
10 MADE UP 294974
11 SETTING UP 249737
12 SHOW UP 246437
13 GREW UP 243856
14 KEEP UP 238686
15 GIVE UP 236196
16 BACK UP 221466
17 THEM UP 212975
18 CAME UP 207913
19 WAKE UP 172015
20 COMING UP 165344
3 (II21) ‘up to’ is listed at B1 as complex prepositions.
4 (RG21)
6 (JJ31) up to date
7 UP (II) 151922
9 UP (RL21) 84386
11 UP (JJ22) 47065
13 UP (NN122) 30785
22 UP (VV0%) 8620
27 UP (JJ41) 2944
31 UP (JJ21) 1968
35 UP (VVI) 817