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12105735239388 = 22372234432020609
BaseRepresentation
bin1011000000101001011000…
…0011000111011011011100
31120212022000111120210102210
42300022112003013123130
53041320021210130023
641425144211120420
72356416255506400
oct260122603073334
946768014523383
1012105735239388
113948016a4616a
12143620a2a3110
1369a748487cab
142dbcc660d100
1515ed708e5593
hexb02960c76dc

12105735239388 has 144 divisors (see below), whose sum is σ = 34364465775360. Its totient is φ = 3300929888256.

The previous prime is 12105735239363. The next prime is 12105735239441. The reversal of 12105735239388 is 88393253750121.

It is a super-2 number, since 2×121057352393882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4980828 + ... + 7001436.

It is an arithmetic number, because the mean of its divisors is an integer number (238642123440).

Almost surely, 212105735239388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12105735239388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182232887680).

12105735239388 is an abundant number, since it is smaller than the sum of its proper divisors (22258730535972).

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

12105735239388 is a wasteful number, since it uses less digits than its factorization.

12105735239388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021096 (or 2021087 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 12105735239388 in words is "twelve trillion, one hundred five billion, seven hundred thirty-five million, two hundred thirty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 443 483 588 644 886 966 1127 1329 1772 1932 2254 2658 3101 3381 4508 5316 6202 6762 9303 10189 12404 13524 18606 20378 21707 30567 37212 40756 43414 61134 65121 71323 86828 122268 130242 142646 213969 260484 285292 427938 499261 855876 998522 1497783 1997044 2020609 2995566 4041218 5991132 6061827 8082436 12123654 14144263 24247308 28288526 42432789 46474007 56577052 84865578 92948014 99009841 139422021 169731156 185896028 198019682 278844042 297029523 325318049 396039364 557688084 594059046 650636098 895129787 975954147 1188118092 1301272196 1790259574 1951908294 2277226343 2685389361 3580519148 3903816588 4554452686 5370778722 6265908509 6831679029 9108905372 10741557444 12531817018 13663358058 18797725527 20587985101 25063634036 27326716116 37595451054 41175970202 43861359563 61763955303 75190902108 82351940404 87722719126 123527910606 131584078689 144115895707 175445438252 247055821212 263168157378 288231791414 432347687121 526336314756 576463582828 864695374242 1008811269949 1729390748484 2017622539898 3026433809847 4035245079796 6052867619694 12105735239388