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12002120000220 = 2235774338460937
BaseRepresentation
bin1010111010100111011000…
…0110010110001011011100
31120111101120101020021101010
42232221312012112023130
53033120320210001340
641305410421015220
72346060502506120
oct256516606261334
946441511207333
1012002120000220
1139080859333a9
12141a111854510
13690a44990c9c
142d6c97393580
1515c3090d8b80
hexaea761962dc

12002120000220 has 96 divisors (see below), whose sum is σ = 38458476499968. Its totient is φ = 2739649393152.

The previous prime is 12002120000219. The next prime is 12002120000231. The reversal of 12002120000220 is 2200002120021.

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 = 12002120000196 and 12002120000205.

It is a congruent number.

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, 18918409 + ... + 19542528.

It is an arithmetic number, because the mean of its divisors is an integer number (400609130208).

Almost surely, 212002120000220 is an apocalyptic number.

12002120000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002120000220 is an abundant number, since it is smaller than the sum of its proper divisors (26456356499748).

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

12002120000220 is a wasteful number, since it uses less digits than its factorization.

12002120000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38461699 (or 38461697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002120000220 its reverse (2200002120021), we get a palindrome (14202122120241).

The spelling of 12002120000220 in words is "twelve trillion, two billion, one hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 743 1486 2229 2972 3715 4458 5201 7430 8916 10402 11145 14860 15603 20804 22290 26005 31206 44580 52010 62412 78015 104020 156030 312060 38460937 76921874 115382811 153843748 192304685 230765622 269226559 384609370 461531244 538453118 576914055 769218740 807679677 1076906236 1153828110 1346132795 1615359354 2307656220 2692265590 3230718708 4038398385 5384531180 8076796770 16153593540 28576476191 57152952382 85729428573 114305904764 142882380955 171458857146 200035333337 285764761910 342917714292 400070666674 428647142865 571529523820 600106000011 800141333348 857294285730 1000176666685 1200212000022 1714588571460 2000353333370 2400424000044 3000530000055 4000706666740 6001060000110 12002120000220