Search a number
-
+
12321133321112 = 23711233559244351
BaseRepresentation
bin1011001101001011110011…
…0001100101101110011000
31121121212222222002002002022
42303102330301211232120
53103332140112233422
642112130035354012
72411113112135060
oct263227461455630
947555888062068
1012321133321112
113a203aa604040
12146bb02752908
136b4b54942615
143084bb73a3a0
1516577aab4342
hexb34bcc65b98

12321133321112 has 128 divisors (see below), whose sum is σ = 30063506227200. Its totient is φ = 4590417744000.

The previous prime is 12321133320971. The next prime is 12321133321129. The reversal of 12321133321112 is 21112333112321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50301737 + ... + 50546087.

It is an arithmetic number, because the mean of its divisors is an integer number (234871142400).

Almost surely, 212321133321112 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 12321133321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031753113600).

12321133321112 is an abundant number, since it is smaller than the sum of its proper divisors (17742372906088).

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

12321133321112 is a wasteful number, since it uses less digits than its factorization.

12321133321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247957 (or 247953 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

Adding to 12321133321112 its reverse (21112333112321), we get a palindrome (33433466433433).

The spelling of 12321133321112 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 3559 7084 7118 14168 14236 24913 28472 39149 49826 78298 81857 99652 156596 163714 199304 244351 274043 313192 327428 488702 548086 572999 654856 900427 977404 1096172 1145998 1710457 1800854 1954808 2192344 2291996 2687861 3420914 3601708 4583992 5375722 5620073 6302989 6841828 7203416 10751444 11240146 12605978 13683656 18815027 21502888 22480292 25211956 37630054 39340511 44960584 50423912 61820803 75260108 78681022 123641606 150520216 157362044 247283212 314724088 432745621 494566424 865491242 869645209 1730982484 1739290418 3461964968 3478580836 6087516463 6957161672 9566097299 12175032926 19132194598 20001839807 24350065852 38264389196 40003679614 48700131704 66962681093 76528778392 80007359228 133925362186 140012878649 160014718456 220020237877 267850724372 280025757298 440040475754 535701448744 560051514596 880080951508 1120103029192 1540141665139 1760161903016 3080283330278 6160566660556 12321133321112