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12032103300012 = 22331103496920327
BaseRepresentation
bin1010111100010111000100…
…1111100011101110101100
31120121020221222002201101000
42233011301033203232230
53034113221421100022
641331245535120300
72351201510401245
oct257056117435654
946536858081330
1012032103300012
113919871700304
121423a9b073090
136938127598b3
142d84dd4d1ccc
1515ceb15146ac
hexaf1713e3bac

12032103300012 has 96 divisors (see below), whose sum is σ = 31230443059200. Its totient is φ = 4006061421696.

The previous prime is 12032103299999. The next prime is 12032103300013. The reversal of 12032103300012 is 21000330123021.

12032103300012 is a `hidden beast` number, since 1 + 2 + 0 + 321 + 0 + 330 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12032103300013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591916993 + ... + 591937319.

It is an arithmetic number, because the mean of its divisors is an integer number (325317115200).

Almost surely, 212032103300012 is an apocalyptic number.

12032103300012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12032103300012 is an abundant number, since it is smaller than the sum of its proper divisors (19198339759188).

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

12032103300012 is a wasteful number, since it uses less digits than its factorization.

12032103300012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26412 (or 26404 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12032103300012 its reverse (21000330123021), we get a palindrome (33032433423033).

The spelling of 12032103300012 in words is "twelve trillion, thirty-two billion, one hundred three million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1103 2206 3309 4412 4969 6618 9927 9938 13236 14907 19854 19876 20327 29781 29814 39708 40654 44721 59562 59628 60981 81308 89442 119124 121962 134163 178884 182943 243924 268326 365886 536652 548829 731772 1097658 2195316 5480807 10961614 16442421 21923228 22420681 32884842 44841362 49327263 65769684 67262043 89682724 98654526 101004863 134524086 147981789 197309052 201786129 202009726 269048172 295963578 303014589 403572258 404019452 591927156 605358387 606029178 807144516 909043767 1210716774 1212058356 1818087534 2421433548 2727131301 3636175068 5454262602 10908525204 111408363889 222816727778 334225091667 445633455556 668450183334 1002675275001 1336900366668 2005350550002 3008025825003 4010701100004 6016051650006 12032103300012