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12102002100120 = 23353117918174449
BaseRepresentation
bin1011000000011011011110…
…0010010100011110011000
31120211221101100000200002110
42300012313202110132120
53041234400014200440
641423325533032320
72356224615400422
oct260066742243630
946757340020073
1012102002100120
1139464807613a9
1214355480256a0
1369a2a1c3054a
142dba508c3812
1515ec02cd5080
hexb01b7894798

12102002100120 has 128 divisors (see below), whose sum is σ = 37686539520000. Its totient is φ = 3105649674240.

The previous prime is 12102002100101. The next prime is 12102002100121. The reversal of 12102002100120 is 2100120020121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12102002100096 and 12102002100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102002100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8421345 + ... + 9753104.

It is an arithmetic number, because the mean of its divisors is an integer number (294426090000).

Almost surely, 212102002100120 is an apocalyptic number.

12102002100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102002100120 is an abundant number, since it is smaller than the sum of its proper divisors (25584537419880).

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

12102002100120 is a wasteful number, since it uses less digits than its factorization.

12102002100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18174673 (or 18174669 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102002100120 its reverse (2100120020121), we get a palindrome (14202122120241).

The spelling of 12102002100120 in words is "twelve trillion, one hundred two billion, two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 179 186 248 310 358 372 465 537 620 716 744 895 930 1074 1240 1432 1790 1860 2148 2685 3580 3720 4296 5370 5549 7160 10740 11098 16647 21480 22196 27745 33294 44392 55490 66588 83235 110980 133176 166470 221960 332940 665880 18174449 36348898 54523347 72697796 90872245 109046694 145395592 181744490 218093388 272616735 363488980 436186776 545233470 563407919 726977960 1090466940 1126815838 1690223757 2180933880 2253631676 2817039595 3253226371 3380447514 4507263352 5634079190 6506452742 6760895028 8451118785 9759679113 11268158380 13012905484 13521790056 16266131855 16902237570 19519358226 22536316760 26025810968 32532263710 33804475140 39038716452 48798395565 65064527420 67608950280 78077432904 97596791130 100850017501 130129054840 195193582260 201700035002 302550052503 390387164520 403400070004 504250087505 605100105006 806800140008 1008500175010 1210200210012 1512750262515 2017000350020 2420400420024 3025500525030 4034000700040 6051001050060 12102002100120