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12000012000020 = 225111072777183569
BaseRepresentation
bin1010111010011111100001…
…1100111101101100010100
31120111012010110122202201122
42232213320130331230110
53033102011033000040
641304421315143112
72345654325012002
oct256477034755424
946435113582648
1012000012000020
1139071a3a30680
1214198238a4a98
1369079a0318a5
142d6b37423a72
1515c233ee11b5
hexae9f873db14

12000012000020 has 96 divisors (see below), whose sum is σ = 27758004462720. Its totient is φ = 4321278832640.

The previous prime is 12000012000019. The next prime is 12000012000073. The reversal of 12000012000020 is 2000021000021.

It is a junction number, because it is equal to n+sod(n) for n = 12000011999971 and 12000012000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65278796 + ... + 65462364.

It is an arithmetic number, because the mean of its divisors is an integer number (289145879820).

Almost surely, 212000012000020 is an apocalyptic number.

12000012000020 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 12000012000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879002231360).

12000012000020 is an abundant number, since it is smaller than the sum of its proper divisors (15757992462700).

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

12000012000020 is a wasteful number, since it uses less digits than its factorization.

12000012000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186473 (or 186471 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12000012000020 its reverse (2000021000021), we get a palindrome (14000033000041).

Subtracting from 12000012000020 its reverse (2000021000021), we obtain a palindrome (9999990999999).

The spelling of 12000012000020 in words is "twelve trillion, twelve million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 2777 4708 5554 5885 11108 11770 13885 23540 27770 30547 55540 61094 122188 152735 183569 297139 305470 367138 594278 610940 734276 917845 1188556 1485695 1835690 2019259 2971390 3268529 3671380 4038518 5942780 6537058 8077036 10096295 13074116 16342645 19641883 20192590 32685290 39283766 40385180 65370580 78567532 98209415 196418830 216060713 392837660 432121426 509771113 864242852 1019542226 1080303565 2039084452 2160607130 2548855565 4321214260 5097711130 5607482243 10195422260 11214964486 22429928972 28037411215 54545509091 56074822430 109091018182 112149644860 218182036364 272727545455 545455090910 600000600001 1090910181820 1200001200002 2400002400004 3000003000005 6000006000010 12000012000020