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12003003012 = 22371121390841
BaseRepresentation
bin10110010110110111…
…10100101010000100
31010222111202201201010
423023123310222010
5144040232044022
65303014002220
7603305561610
oct131333645204
933874681633
1012003003012
1150aa422900
1223ab946370
131193976660
1481c1a0340
154a3b6550c
hex2cb6f4a84

12003003012 has 144 divisors (see below), whose sum is σ = 37889108096. Its totient is φ = 2877811200.

The previous prime is 12003002969. The next prime is 12003003029. The reversal of 12003003012 is 21030030021.

It is a happy number.

12003003012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 86712 + ... + 177552.

Almost surely, 212003003012 is an apocalyptic number.

12003003012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18944554048).

12003003012 is an abundant number, since it is smaller than the sum of its proper divisors (25886105084).

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

12003003012 is a wasteful number, since it uses less digits than its factorization.

12003003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90890 (or 90877 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12003003012 its reverse (21030030021), we get a palindrome (33033033033).

The spelling of 12003003012 in words is "twelve billion, three million, three thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 121 132 143 154 156 182 231 242 273 286 308 363 364 429 462 484 546 572 726 847 858 924 1001 1092 1452 1573 1694 1716 2002 2541 3003 3146 3388 4004 4719 5082 6006 6292 9438 10164 11011 12012 18876 22022 33033 44044 66066 90841 132132 181682 272523 363364 545046 635887 999251 1090092 1180933 1271774 1907661 1998502 2361866 2543548 2997753 3542799 3815322 3997004 4723732 5995506 6994757 7085598 7630644 8266531 10991761 11991012 12990263 13989514 14171196 16533062 20984271 21983522 24799593 25980526 27979028 32975283 33066124 38970789 41968542 43967044 49599186 51961052 65950566 76942327 77941578 83937084 90931841 99198372 131901132 142892893 153884654 155883156 181863682 230826981 272795523 285785786 307769308 363727364 428678679 461653962 545591046 571571572 857357358 923307924 1000250251 1091182092 1714714716 2000500502 3000750753 4001001004 6001501506 12003003012