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12011002122000 = 243537285976241
BaseRepresentation
bin1010111011001000011110…
…0000111100111100010000
31120112020111101111210212110
42232302013200330330100
53033242013020401000
641313440031425320
72346523554343650
oct256620740747420
946466441453773
1012011002122000
113910923631a12
12141b990385240
1369182bbab04b
142d749ac82360
1515c678c7d850
hexaec8783cf10

12011002122000 has 160 divisors (see below), whose sum is σ = 44255395401984. Its totient is φ = 2745371904000.

The previous prime is 12011002121981. The next prime is 12011002122011. The reversal of 12011002122000 is 22120011021.

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

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, 142946121 + ... + 143030120.

Almost surely, 212011002122000 is an apocalyptic number.

12011002122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011002122000 is an abundant number, since it is smaller than the sum of its proper divisors (32244393279984).

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

12011002122000 is a wasteful number, since it uses less digits than its factorization.

12011002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285976274 (or 285976258 counting only the distinct ones).

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

Adding to 12011002122000 its reverse (22120011021), we get a palindrome (12033122133021).

The spelling of 12011002122000 in words is "twelve trillion, eleven billion, two million, one hundred twenty-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 285976241 571952482 857928723 1143904964 1429881205 1715857446 2001833687 2287809928 2859762410 3431714892 4003667374 4289643615 4575619856 5719524820 6005501061 6863429784 7149406025 8007334748 8579287230 10009168435 11439049640 12011002122 13726859568 14298812050 16014669496 17158574460 20018336870 21448218075 22878099280 24022004244 28597624100 30027505305 32029338992 34317148920 35747030125 40036673740 42896436150 48044008488 50045842175 57195248200 60055010610 68634297840 71494060250 80073347480 85792872300 96088016976 100091684350 107241090375 114390496400 120110021220 142988120500 150137526525 160146694960 171585744600 200183368700 214482180750 240220042440 250229210875 285976241000 300275053050 343171489200 400366737400 428964361500 480440084880 500458421750 571952482000 600550106100 750687632625 800733474800 857928723000 1000916843500 1201100212200 1501375265250 1715857446000 2001833687000 2402200424400 3002750530500 4003667374000 6005501061000 12011002122000