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12000122101212 = 22371942117859557
BaseRepresentation
bin1010111010011111111100…
…0000111101110111011100
31120111012102010211111011120
42232213333000331313130
53033102222224214322
641304440251050540
72345660132604510
oct256477700756734
946435363744146
1012000122101212
1139072500a12a3
121419854740a50
136907b6aa101b
142d6b47cc4140
1515c23d9dda5c
hexae9ff03dddc

12000122101212 has 96 divisors (see below), whose sum is σ = 33764565972480. Its totient is φ = 3240437840640.

The previous prime is 12000122101183. The next prime is 12000122101223. The reversal of 12000122101212 is 21210122100021.

It is a junction number, because it is equal to n+sod(n) for n = 12000122101191 and 12000122101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8257863 + ... + 9601694.

It is an arithmetic number, because the mean of its divisors is an integer number (351714228880).

Almost surely, 212000122101212 is an apocalyptic number.

12000122101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000122101212 is an abundant number, since it is smaller than the sum of its proper divisors (21764443871268).

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

12000122101212 is a wasteful number, since it uses less digits than its factorization.

12000122101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17860011 (or 17860009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12000122101212 its reverse (21210122100021), we get a palindrome (33210244201233).

The spelling of 12000122101212 in words is "twelve trillion, one hundred twenty-two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 421 532 798 842 1263 1596 1684 2526 2947 5052 5894 7999 8841 11788 15998 17682 23997 31996 35364 47994 55993 95988 111986 167979 223972 335958 671916 17859557 35719114 53578671 71438228 107157342 125016899 214314684 250033798 339331583 375050697 500067596 678663166 750101394 1017994749 1357326332 1500202788 2035989498 2375321081 4071978996 4750642162 7125963243 7518873497 9501284324 14251926486 15037746994 22556620491 28503852972 30075493988 45113240982 52632114479 90226481964 105264228958 142858596443 157896343437 210528457916 285717192886 315792686874 428575789329 571434385772 631585373748 857151578658 1000010175101 1714303157316 2000020350202 3000030525303 4000040700404 6000061050606 12000122101212