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12232112220 = 223251915492309
BaseRepresentation
bin10110110010001011…
…10011100001011100
31011120110212200110100
423121011303201130
5200022410042340
65341440341100
7612060144516
oct133105634134
934513780410
1012232112220
115207787a59
122454614790
1311cc283333
1484079cbb6
154b8d1e830
hex2d917385c

12232112220 has 144 divisors (see below), whose sum is σ = 39099060000. Its totient is φ = 3086885376.

The previous prime is 12232112219. The next prime is 12232112231. The reversal of 12232112220 is 2221123221.

12232112220 is a `hidden beast` number, since 122 + 321 + 1 + 2 + 220 = 666.

12232112220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12232112193 and 12232112202.

It is a congruent number.

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, 5296426 + ... + 5298734.

It is an arithmetic number, because the mean of its divisors is an integer number (271521250).

Almost surely, 212232112220 is an apocalyptic number.

12232112220 is a gapful number since it is divisible by the number (10) 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 12232112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549530000).

12232112220 is an abundant number, since it is smaller than the sum of its proper divisors (26866947780).

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

12232112220 is a wasteful number, since it uses less digits than its factorization.

12232112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12232112220 its reverse (2221123221), we get a palindrome (14453235441).

The spelling of 12232112220 in words is "twelve billion, two hundred thirty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1549 1710 2309 3098 3420 4618 4647 6196 6927 7745 9236 9294 11545 13854 13941 15490 18588 20781 23090 23235 27708 27882 29431 30980 34635 41562 43871 46180 46470 55764 58862 69270 69705 83124 87742 88293 92940 103905 117724 131613 138540 139410 147155 175484 176586 207810 219355 263226 264879 278820 294310 353172 394839 415620 438710 441465 526452 529758 588620 658065 789678 877420 882930 1059516 1316130 1324395 1579356 1765860 1974195 2632260 2648790 3576641 3948390 5297580 7153282 7896780 10729923 14306564 17883205 21459846 32189769 35766410 42919692 53649615 64379538 67956179 71532820 107299230 128759076 135912358 160948845 203868537 214598460 271824716 321897690 339780895 407737074 611605611 643795380 679561790 815474148 1019342685 1223211222 1359123580 2038685370 2446422444 3058028055 4077370740 6116056110 12232112220