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12115856385105 = 3511246791426673
BaseRepresentation
bin1011000001001111000101…
…0100001110010001010001
31120220021010212022021020120
42300103301110032101101
53042001233213310410
641433540402300453
72360225134024014
oct260236124162121
946807125267216
1012115856385105
113951340084800
121438173957729
1369b69c2b0a05
142dc5a68a937b
15160264233570
hexb04f150e451

12115856385105 has 48 divisors (see below), whose sum is σ = 21312455149440. Its totient is φ = 5873095022080.

The previous prime is 12115856385077. The next prime is 12115856385239. The reversal of 12115856385105 is 50158365851121.

It is not a de Polignac number, because 12115856385105 - 243 = 3319763362897 is a prime.

It is a super-2 number, since 2×121158563851052 (a number of 27 digits) contains 22 as substring.

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, 7779049 + ... + 9205721.

It is an arithmetic number, because the mean of its divisors is an integer number (444009482280).

Almost surely, 212115856385105 is an apocalyptic number.

12115856385105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12115856385105 is a deficient number, since it is larger than the sum of its proper divisors (9196598764335).

12115856385105 is a wasteful number, since it uses less digits than its factorization.

12115856385105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431382 (or 1431371 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 51.

The spelling of 12115856385105 in words is "twelve trillion, one hundred fifteen billion, eight hundred fifty-six million, three hundred eighty-five thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 4679 14037 23395 51469 70185 154407 257345 566159 772035 1426673 1698477 2830795 4280019 7133365 8492385 15693403 21400095 47080209 78467015 172627433 235401045 517882299 863137165 2589411495 6675402967 20026208901 33377014835 73429432637 100131044505 220288297911 367147163185 807723759007 1101441489555 2423171277021 4038618795035 12115856385105