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12110212002000 = 243537288338381
BaseRepresentation
bin1011000000111010000011…
…1000100111000011010000
31120212201120111101220020110
42300032200320213003100
53041403203233031000
641431204331441320
72356635225405420
oct260164070470320
946781514356213
1012110212002000
113949a03a65182
1214370595b6240
1369acacab6958
142dc1ccdca480
15160033943850
hexb03a0e270d0

12110212002000 has 160 divisors (see below), whose sum is σ = 44620941291264. Its totient is φ = 2768048448000.

The previous prime is 12110212001971. The next prime is 12110212002107. The reversal of 12110212002000 is 20021201121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144127191 + ... + 144211190.

Almost surely, 212110212002000 is an apocalyptic number.

12110212002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110212002000 is an abundant number, since it is smaller than the sum of its proper divisors (32510729289264).

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

12110212002000 is a wasteful number, since it uses less digits than its factorization.

12110212002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288338414 (or 288338398 counting only the distinct ones).

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

Adding to 12110212002000 its reverse (20021201121), we get a palindrome (12130233203121).

The spelling of 12110212002000 in words is "twelve trillion, one hundred ten billion, two hundred twelve million, two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 288338381 576676762 865015143 1153353524 1441691905 1730030286 2018368667 2306707048 2883383810 3460060572 4036737334 4325075715 4613414096 5766767620 6055106001 6920121144 7208459525 8073474668 8650151430 10091843335 11533535240 12110212002 13840242288 14416919050 16146949336 17300302860 20183686670 21625378575 23067070480 24220424004 28833838100 30275530005 32293898672 34600605720 36042297625 40367373340 43250757150 48440848008 50459216675 57667676200 60551060010 69201211440 72084595250 80734746680 86501514300 96881696016 100918433350 108126892875 115335352400 121102120020 144169190500 151377650025 161469493360 173003028600 201836866700 216253785750 242204240040 252296083375 288338381000 302755300050 346006057200 403673733400 432507571500 484408480080 504592166750 576676762000 605510600100 756888250125 807347466800 865015143000 1009184333500 1211021200200 1513776500250 1730030286000 2018368667000 2422042400400 3027553000500 4036737334000 6055106001000 12110212002000