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12011110122000 = 2435311181986517
BaseRepresentation
bin1010111011001000110111…
…1100111100001000010000
31120112020202220201210000110
42232302031330330020100
53033242223142401000
641313454450321320
72346526335335523
oct256621574741020
946466686653013
1012011110122000
113910979597a10
12141ba00589240
13691848392c82
142d74ab356bba
1515c6834b3850
hexaec8df3c210

12011110122000 has 160 divisors (see below), whose sum is σ = 42244166450304. Its totient is φ = 2911784256000.

The previous prime is 12011110121957. The next prime is 12011110122001. The reversal of 12011110122000 is 22101111021.

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

It is not an unprimeable number, because it can be changed into a prime (12011110122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90927259 + ... + 91059258.

Almost surely, 212011110122000 is an apocalyptic number.

12011110122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011110122000 is an abundant number, since it is smaller than the sum of its proper divisors (30233056328304).

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

12011110122000 is a wasteful number, since it uses less digits than its factorization.

12011110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181986554 (or 181986538 counting only the distinct ones).

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

Adding to 12011110122000 its reverse (22101111021), we get a palindrome (12033211233021).

The spelling of 12011110122000 in words is "twelve trillion, eleven billion, one hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 181986517 363973034 545959551 727946068 909932585 1091919102 1455892136 1819865170 2001851687 2183838204 2729797755 2911784272 3639730340 4003703374 4367676408 4549662925 5459595510 6005555061 7279460680 8007406748 8735352816 9099325850 10009258435 10919191020 12011110122 13648988775 14558921360 16014813496 18198651700 20018516870 21838382040 22748314625 24022220244 27297977550 30027775305 32029626992 36397303400 40037033740 43676764080 45496629250 48044440488 50046292175 54595955100 60055550610 68244943875 72794606800 80074067480 90993258500 96088880976 100092584350 109191910200 120111101220 136489887750 150138876525 160148134960 181986517000 200185168700 218383820400 240222202440 250231460875 272979775500 300277753050 363973034000 400370337400 480444404880 500462921750 545959551000 600555506100 750694382625 800740674800 1000925843500 1091919102000 1201111012200 1501388765250 2001851687000 2402222024400 3002777530500 4003703374000 6005555061000 12011110122000