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12032011011020 = 22571113600999551
BaseRepresentation
bin1010111100010110101110…
…1111100000001111001100
31120121020201112102221200012
42233011223233200033030
53034113024304323040
641331232441052352
72351166310063160
oct257055357401714
946536645387605
1012032011011020
1139198245a6210
121423a741870b8
136937c95b5b20
142d84d114aca0
1515cea8384865
hexaf16bbe03cc

12032011011020 has 96 divisors (see below), whose sum is σ = 33925222711296. Its totient is φ = 3461757408000.

The previous prime is 12032011011001. The next prime is 12032011011061. The reversal of 12032011011020 is 2011011023021.

It is a super-2 number, since 2×120320110110202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12032011010986 and 12032011011004.

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, 300479756 + ... + 300519795.

It is an arithmetic number, because the mean of its divisors is an integer number (353387736576).

Almost surely, 212032011011020 is an apocalyptic number.

12032011011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032011011020 is an abundant number, since it is smaller than the sum of its proper divisors (21893211700276).

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

12032011011020 is a wasteful number, since it uses less digits than its factorization.

12032011011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600999591 (or 600999589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12032011011020 its reverse (2011011023021), we get a palindrome (14043022034041).

The spelling of 12032011011020 in words is "twelve trillion, thirty-two billion, eleven million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 600999551 1201999102 2403998204 3004997755 4206996857 6009995510 6610995061 7812994163 8413993714 12019991020 13221990122 15625988326 16827987428 21034984285 26443980244 31251976652 33054975305 39064970815 42069968570 46276965427 54690959141 66109950610 78129941630 84139937140 85942935793 92553930854 109381918282 132219901220 156259883260 171885871586 185107861708 218763836564 231384827135 273454795705 343771743172 429714678965 462769654270 546909591410 601600550551 859429357930 925539308540 1093819182820 1203201101102 1718858715860 2406402202204 3008002752755 6016005505510 12032011011020