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12001001220012 = 22371783910016761
BaseRepresentation
bin1010111010100011001101…
…1010100010011110101100
31120111021200102001100110010
42232220303122202132230
53033111022303020022
641305103413413220
72346020666154210
oct256506332423654
946437612040403
1012001001220012
113907661361262
121419a5b03a210
136908c6c6616c
142d6bcc966940
1515c290c9350c
hexaea336a27ac

12001001220012 has 96 divisors (see below), whose sum is σ = 33925570882560. Its totient is φ = 3223313233920.

The previous prime is 12001001219959. The next prime is 12001001220031. The reversal of 12001001220012 is 21002210010021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12001001220012.

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, 3810289 + ... + 6206472.

It is an arithmetic number, because the mean of its divisors is an integer number (353391363360).

Almost surely, 212001001220012 is an apocalyptic number.

12001001220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001001220012 is an abundant number, since it is smaller than the sum of its proper divisors (21924569662548).

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

12001001220012 is a wasteful number, since it uses less digits than its factorization.

12001001220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017631 (or 10017629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001001220012 its reverse (21002210010021), we get a palindrome (33003211230033).

The spelling of 12001001220012 in words is "twelve trillion, one billion, one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 839 1428 1678 2517 3356 5034 5873 10068 11746 14263 17619 23492 28526 35238 42789 57052 70476 85578 99841 171156 199682 299523 399364 599046 1198092 10016761 20033522 30050283 40067044 60100566 70117327 120201132 140234654 170284937 210351981 280469308 340569874 420703962 510854811 681139748 841407924 1021709622 1191994559 2043419244 2383989118 3575983677 4767978236 7151967354 8404062479 14303934708 16808124958 25212187437 33616249916 50424374874 58828437353 100848749748 117656874706 142869062143 176485312059 235313749412 285738124286 352970624118 428607186429 571476248572 705941248236 857214372858 1000083435001 1714428745716 2000166870002 3000250305003 4000333740004 6000500610006 12001001220012