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12012221022120 = 23325113033389147
BaseRepresentation
bin1010111011001101000000…
…1010101011111110101000
31120112100122100002100111100
42232303100022223332220
53033302012040201440
641314201013001400
72346566015000424
oct256632012537650
946470570070440
1012012221022120
113911399677690
121420070623260
1369199458c117
142d7574ad1b84
1515c6eac9e230
hexaecd02abfa8

12012221022120 has 96 divisors (see below), whose sum is σ = 42588783637920. Its totient is φ = 2912053580160.

The previous prime is 12012221022079. The next prime is 12012221022229. The reversal of 12012221022120 is 2122012221021.

It is a happy number.

12012221022120 is a `hidden beast` number, since 1 + 201 + 2 + 221 + 0 + 221 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12012221022093 and 12012221022102.

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 23 ways as a sum of consecutive naturals, for example, 1516690614 + ... + 1516698533.

It is an arithmetic number, because the mean of its divisors is an integer number (443633162895).

Almost surely, 212012221022120 is an apocalyptic number.

12012221022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012221022120 is an abundant number, since it is smaller than the sum of its proper divisors (30576562615800).

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

12012221022120 is a wasteful number, since it uses less digits than its factorization.

12012221022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033389175 (or 3033389168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12012221022120 its reverse (2122012221021), we get a palindrome (14134233243141).

The spelling of 12012221022120 in words is "twelve trillion, twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3033389147 6066778294 9100167441 12133556588 15166945735 18200334882 24267113176 27300502323 30333891470 33367280617 36400669764 45500837205 54601004646 60667782940 66734561234 72801339528 91001674410 100101841851 109202009292 121335565880 133469122468 136502511615 166836403085 182003348820 200203683702 218404018584 266938244936 273005023230 300305525553 333672806170 364006697640 400407367404 500509209255 546010046460 600611051106 667345612340 800814734808 1001018418510 1092020092920 1201222102212 1334691224680 1501527627765 2002036837020 2402444204424 3003055255530 4004073674040 6006110511060 12012221022120