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120010000011984 = 24324121341952481
BaseRepresentation
bin11011010010011000000001…
…011010111001001011010000
3120201220211210020120021111200
4123102120001122321023100
5111212220440000340414
61103123455523511200
734164302450656065
oct3322300132711320
9521824706507450
10120010000011984
1135269a56397225
12115628aa228500
1351c6b8211c724
14218c72d1d6c6c
15dd1b07517109
hex6d26016b92d0

120010000011984 has 120 divisors (see below), whose sum is σ = 344069541905544. Its totient is φ = 39025772544000.

The previous prime is 120010000011917. The next prime is 120010000012079. The reversal of 120010000011984 is 489110000010021.

120010000011984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7457421565584 + 112552578446400 = 2730828^2 + 10609080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125521024 + ... + 126473504.

Almost surely, 2120010000011984 is an apocalyptic number.

It is an amenable number.

120010000011984 is an abundant number, since it is smaller than the sum of its proper divisors (224059541893560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120010000011984 is a wasteful number, since it uses less digits than its factorization.

120010000011984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973877 (or 973868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 120010000011984 in words is "one hundred twenty trillion, ten billion, eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 21341 42682 64023 85364 128046 170728 192069 256092 341456 384138 512184 768276 874981 952481 1024368 1536552 1749962 1904962 2624943 2857443 3073104 3499924 3809924 5249886 5714886 6999848 7619848 7874829 8572329 10499772 11429772 13999696 15239696 15749658 17144658 20999544 22859544 31499316 34289316 39051721 41999088 45719088 62998632 68578632 78103442 117155163 125997264 137157264 156206884 234310326 312413768 351465489 468620652 624827536 702930978 937241304 1405861956 1874482608 2811723912 5623447824 20326897021 40653794042 60980691063 81307588084 121961382126 162615176168 182942073189 243922764252 325230352336 365884146378 487845528504 731768292756 833402777861 975691057008 1463536585512 1666805555722 2500208333583 2927073171024 3333611111444 5000416667166 6667222222888 7500625000749 10000833334332 13334444445776 15001250001498 20001666668664 30002500002996 40003333337328 60005000005992 120010000011984