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12002003002000 = 2453114711607353
BaseRepresentation
bin1010111010100110111100…
…1000000010001010010000
31120111101021020002010222201
42232221233020002022100
53033120100232031000
641305351041212544
72346054552156334
oct256515710021220
946441236063881
1012002003002000
113908025891960
12141a09a631154
13690a2667847b
142d6c85a197c4
1515c2edbc796a
hexaea6f202290

12002003002000 has 160 divisors (see below), whose sum is σ = 32332702431744. Its totient is φ = 4271505536000.

The previous prime is 12002003001977. The next prime is 12002003002019. The reversal of 12002003002000 is 20030020021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 4769677 + ... + 6837676.

Almost surely, 212002003002000 is an apocalyptic number.

12002003002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002003002000 is an abundant number, since it is smaller than the sum of its proper divisors (20330699429744).

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

12002003002000 is a wasteful number, since it uses less digits than its factorization.

12002003002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11607434 (or 11607418 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12002003002000 its reverse (20030020021), we get a palindrome (12022033022021).

The spelling of 12002003002000 in words is "twelve trillion, two billion, three million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 125 176 188 200 220 235 250 275 376 400 440 470 500 517 550 752 880 940 1000 1034 1100 1175 1375 1880 2000 2068 2200 2350 2585 2750 3760 4136 4400 4700 5170 5500 5875 8272 9400 10340 11000 11750 12925 18800 20680 22000 23500 25850 41360 47000 51700 64625 94000 103400 129250 206800 258500 517000 1034000 11607353 23214706 46429412 58036765 92858824 116073530 127680883 185717648 232147060 255361766 290183825 464294120 510723532 545545591 580367650 638404415 928588240 1021447064 1091091182 1160735300 1276808830 1450919125 2042894128 2182182364 2321470600 2553617660 2727727955 2901838250 3192022075 4364364728 4642941200 5107235320 5455455910 5803676500 6001001501 6384044150 8728729456 10214470640 10910911820 11607353000 12002003002 12768088300 13638639775 15960110375 21821823640 23214706000 24004006004 25536176600 27277279550 30005007505 31920220750 43643647280 48008012008 51072353200 54554559100 60010015010 63840441500 68193198875 96016024016 109109118200 120020030020 127680883000 136386397750 150025037525 218218236400 240040060040 255361766000 272772795500 300050075050 480080120080 545545591000 600100150100 750125187625 1091091182000 1200200300200 1500250375250 2400400600400 3000500750500 6001001501000 12002003002000