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12002101110120 = 23351119945690959
BaseRepresentation
bin1010111010100111010011…
…1110010010010101101000
31120111101112001200120000210
42232221310332102111220
53033120300341010440
641305404504101120
72346060153112002
oct256516476222550
946441461616023
1012002101110120
113908076200a50
12141a1074647a0
13690a40aa8b04
142d6c94a77372
1515c307606a80
hexaea74f92568

12002101110120 has 128 divisors (see below), whose sum is σ = 39476989440000. Its totient is φ = 2894979098880.

The previous prime is 12002101110107. The next prime is 12002101110149. The reversal of 12002101110120 is 2101110120021.

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 = 12002101110096 and 12002101110105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22582800 + ... + 23108159.

It is an arithmetic number, because the mean of its divisors is an integer number (308413980000).

Almost surely, 212002101110120 is an apocalyptic number.

12002101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002101110120 is an abundant number, since it is smaller than the sum of its proper divisors (27474888329880).

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

12002101110120 is a wasteful number, since it uses less digits than its factorization.

12002101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45691183 (or 45691179 counting only the distinct ones).

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

Adding to 12002101110120 its reverse (2101110120021), we get a palindrome (14103211230141).

Subtracting from 12002101110120 its reverse (2101110120021), we obtain a palindrome (9900990990099).

The spelling of 12002101110120 in words is "twelve trillion, two billion, one hundred one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 199 220 264 330 398 440 597 660 796 995 1194 1320 1592 1990 2189 2388 2985 3980 4378 4776 5970 6567 7960 8756 10945 11940 13134 17512 21890 23880 26268 32835 43780 52536 65670 87560 131340 262680 45690959 91381918 137072877 182763836 228454795 274145754 365527672 456909590 502600549 548291508 685364385 913819180 1005201098 1096583016 1370728770 1507801647 1827638360 2010402196 2513002745 2741457540 3015603294 4020804392 5026005490 5482915080 6031206588 7539008235 9092500841 10052010980 12062413176 15078016470 18185001682 20104021960 27277502523 30156032940 36370003364 45462504205 54555005046 60312065880 72740006728 90925008410 100017509251 109110010092 136387512615 181850016820 200035018502 218220020184 272775025230 300052527753 363700033640 400070037004 500087546255 545550050460 600105055506 800140074008 1000175092510 1091100100920 1200210111012 1500262638765 2000350185020 2400420222024 3000525277530 4000700370040 6001050555060 12002101110120