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12033220021232 = 24233733710632467
BaseRepresentation
bin1010111100011011001111…
…0011100000101111110000
31120121100211210102000220012
42233012303303200233300
53034123013311134412
641331552430234052
72351241260356244
oct257066363405760
946540753360805
1012033220021232
11391a294aa6503
121424151055928
1369395cc13497
142d85a7944424
1515d02959ec22
hexaf1b3ce0bf0

12033220021232 has 160 divisors (see below), whose sum is σ = 25093429251072. Its totient is φ = 5575348703232.

The previous prime is 12033220021217. The next prime is 12033220021289. The reversal of 12033220021232 is 23212002233021.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 12033220021198 and 12033220021207.

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, 4877672063 + ... + 4877674529.

Almost surely, 212033220021232 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 12033220021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546714625536).

12033220021232 is an abundant number, since it is smaller than the sum of its proper divisors (13060209229840).

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

12033220021232 is a wasteful number, since it uses less digits than its factorization.

12033220021232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12033220021232 its reverse (23212002233021), we get a palindrome (35245222254253).

The spelling of 12033220021232 in words is "twelve trillion, thirty-three billion, two hundred twenty million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 337 368 592 674 851 1063 1348 1702 2126 2467 2696 3404 4252 4934 5392 6808 7751 8504 9868 12469 13616 15502 17008 19736 24449 24938 31004 39331 39472 48898 49876 56741 62008 78662 91279 97796 99752 113482 124016 157324 182558 195592 199504 226964 286787 314648 358231 365116 391184 453928 573574 629296 716462 730232 831379 904613 907856 1147148 1432924 1460464 1662758 1809226 2099417 2294296 2622421 2865848 3325516 3618452 4198834 4588592 5244842 5731696 6651032 7236904 8239313 8397668 10489684 13254547 13302064 14473808 16478626 16795336 19121717 20979368 26509094 30761023 32957252 33590672 38243434 41958736 53018188 60315683 61522046 65914504 76486868 97029577 106036376 120631366 123044092 131829008 152973736 194059154 212072752 241262732 246088184 304854581 305947472 388118308 482525464 492176368 609709162 707503529 776236616 883755877 965050928 1219418324 1415007058 1552473232 1767511754 2231680271 2438836648 2830014116 3535023508 4463360542 4877673296 5660028232 7070047016 8926721084 11320056464 14140094032 17853442168 20326385171 32698967449 35706884336 40652770342 65397934898 81305540684 130795869796 162611081368 261591739592 325222162736 523183479184 752076251327 1504152502654 3008305005308 6016610010616 12033220021232