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12001112010120 = 2335491209997039
BaseRepresentation
bin1010111010100011101000…
…0001001010110110001000
31120111021222010112001220110
42232220322001022312020
53033111234133310440
641305122412154320
72346023512646352
oct256507201126610
946437863461813
1012001112010120
113907708952532
121419a901689a0
13690913bb703c
142d6bdd5660d2
1515c29a87a080
hexaea3a04ad88

12001112010120 has 128 divisors (see below), whose sum is σ = 36094222080000. Its totient is φ = 3192224152320.

The previous prime is 12001112010109. The next prime is 12001112010127. The reversal of 12001112010120 is 2101021110021.

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 = 12001112010096 and 12001112010105.

It is not an unprimeable number, because it can be changed into a prime (12001112010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123624561 + ... + 123721599.

It is an arithmetic number, because the mean of its divisors is an integer number (281986110000).

Almost surely, 212001112010120 is an apocalyptic number.

12001112010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001112010120 is an abundant number, since it is smaller than the sum of its proper divisors (24093110069880).

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

12001112010120 is a wasteful number, since it uses less digits than its factorization.

12001112010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99643 (or 99639 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001112010120 its reverse (2101021110021), we get a palindrome (14102133120141).

Subtracting from 12001112010120 its reverse (2101021110021), we obtain a palindrome (9900090900099).

The spelling of 12001112010120 in words is "twelve trillion, one billion, one hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 491 982 1473 1964 2099 2455 2946 3928 4198 4910 5892 6297 7365 8396 9820 10495 11784 12594 14730 16792 19640 20990 25188 29460 31485 41980 50376 58920 62970 83960 97039 125940 194078 251880 291117 388156 485195 582234 776312 970390 1030609 1164468 1455585 1940780 2061218 2328936 2911170 3091827 3881560 4122436 5153045 5822340 6183654 8244872 10306090 11644680 12367308 15459135 20612180 24734616 30918270 41224360 47646149 61836540 95292298 123673080 142938447 190584596 203684861 238230745 285876894 381169192 407369722 476461490 571753788 611054583 714692235 814739444 952922980 1018424305 1143507576 1222109166 1429384470 1629478888 1905845960 2036848610 2444218332 2858768940 3055272915 4073697220 4888436664 5717537880 6110545830 8147394440 12221091660 24442183320 100009266751 200018533502 300027800253 400037067004 500046333755 600055600506 800074134008 1000092667510 1200111201012 1500139001265 2000185335020 2400222402024 3000278002530 4000370670040 6000556005060 12001112010120