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12032300300020 = 22572111385859143
BaseRepresentation
bin1010111100010111110011…
…1111000011011011110100
31120121021110200210100120121
42233011330333003123310
53034114122334100040
641331321253341324
72351206422022300
oct257057477033364
946537420710517
1012032300300020
113919962924330
121423b35037844
13693844503550
142d851b732d00
1515cec3979c4a
hexaf17cfc36f4

12032300300020 has 144 divisors (see below), whose sum is σ = 34531860843648. Its totient is φ = 3461840605440.

The previous prime is 12032300300017. The next prime is 12032300300089. The reversal of 12032300300020 is 2000300323021.

It is a super-2 number, since 2×120323003000202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12032300299967 and 12032300300003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42789432 + ... + 43069711.

It is an arithmetic number, because the mean of its divisors is an integer number (239804589192).

Almost surely, 212032300300020 is an apocalyptic number.

12032300300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032300300020 is an abundant number, since it is smaller than the sum of its proper divisors (22499560543628).

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

12032300300020 is a wasteful number, since it uses less digits than its factorization.

12032300300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85859190 (or 85859181 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12032300300020 its reverse (2000300323021), we get a palindrome (14032600623041).

The spelling of 12032300300020 in words is "twelve trillion, thirty-two billion, three hundred million, three hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 85859143 171718286 343436572 429295715 601014001 858591430 944450573 1116168859 1202028002 1717182860 1888901146 2232337718 2404056004 3005070005 3777802292 4207098007 4464675436 4722252865 5580844295 6010140010 6611154011 7813182013 8414196014 9444505730 11161688590 12020280020 12277857449 13222308022 15626364026 16828392028 18889011460 21035490035 22323377180 24555714898 26444616044 31252728052 33055770055 39065910065 42070980070 46278078077 49111429796 54692274091 61389287245 66111540110 78131820130 84141960140 85945002143 92556156154 109384548182 122778574490 132223080220 156263640260 171890004286 185112312308 218769096364 231390390385 245557148980 273461370455 343780008572 429725010715 462780780770 546922740910 601615015001 859450021430 925561561540 1093845481820 1203230030002 1718900042860 2406460060004 3008075075005 6016150150010 12032300300020