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12233321223032 = 23713181268334603
BaseRepresentation
bin1011001000000100101011…
…0001000001001101111000
31121022111100012010022011102
42302001022301001031320
53100412320213114112
642003524333350532
72401554050462240
oct262011261011570
947274305108142
1012233321223032
1139971389aa058
121456a96638448
136a979c1a7180
1430414b24ab20
1516333b864bc2
hexb204ac41378

12233321223032 has 128 divisors (see below), whose sum is σ = 28398113103360. Its totient is φ = 4810884917760.

The previous prime is 12233321222921. The next prime is 12233321223037. The reversal of 12233321223032 is 23032212333221.

It is a junction number, because it is equal to n+sod(n) for n = 12233321222986 and 12233321223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233321223037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353516243 + ... + 353550845.

It is an arithmetic number, because the mean of its divisors is an integer number (221860258620).

Almost surely, 212233321223032 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 12233321223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199056551680).

12233321223032 is an abundant number, since it is smaller than the sum of its proper divisors (16164791880328).

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

12233321223032 is a wasteful number, since it uses less digits than its factorization.

12233321223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37493 (or 37489 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 12233321223032 its reverse (23032212333221), we get a palindrome (35265533556253).

The spelling of 12233321223032 in words is "twelve trillion, two hundred thirty-three billion, three hundred twenty-one million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 181 182 362 364 724 728 1267 1448 2353 2534 2683 4706 5068 5366 9412 10136 10732 16471 18781 18824 21464 32942 34603 34879 37562 65884 69206 69758 75124 131768 138412 139516 150248 242221 244153 276824 279032 449839 484442 485623 488306 899678 968884 971246 976612 1799356 1937768 1942492 1953224 3148873 3399361 3598712 3884984 6263143 6297746 6313099 6798722 12526286 12595492 12626198 13597444 25052572 25190984 25252396 27194888 43842001 44191693 50105144 50504792 81420859 87684002 88383386 92839849 162841718 175368004 176766772 185679698 325683436 350736008 353533544 371359396 569946013 649878943 651366872 742718792 1139892026 1206918037 1299757886 2279784052 2413836074 2599515772 4559568104 4827672148 5199031544 8448426259 9655344296 16804012669 16896852518 33608025338 33793705036 67216050676 67587410072 117628088683 134432101352 218452164697 235256177366 436904329394 470512354732 873808658788 941024709464 1529165152879 1747617317576 3058330305758 6116660611516 12233321223032