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12002201212212 = 223241127149429719
BaseRepresentation
bin1010111010100111101011…
…1100001001010100110100
31120111101210001001021021200
42232221322330021110310
53033121002002242322
641305422441412500
72346062510010561
oct256517274112464
946441701037250
1012002201212212
113908117762152
12141a134a9a130
13690a58756c13
142d6ca4093868
1515c3112cb8ac
hexaea7af09534

12002201212212 has 144 divisors (see below), whose sum is σ = 31533884928000. Its totient is φ = 3846423006720.

The previous prime is 12002201212163. The next prime is 12002201212223. The reversal of 12002201212212 is 21221210220021.

It is a happy number.

12002201212212 is a `hidden beast` number, since 1 + 20 + 0 + 220 + 1 + 212 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 27715489 + ... + 28145207.

It is an arithmetic number, because the mean of its divisors is an integer number (218985312000).

Almost surely, 212002201212212 is an apocalyptic number.

12002201212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002201212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766942464000).

12002201212212 is an abundant number, since it is smaller than the sum of its proper divisors (19531683715788).

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

12002201212212 is a wasteful number, since it uses less digits than its factorization.

12002201212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430046 (or 430041 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002201212212 its reverse (21221210220021), we get a palindrome (33223411432233).

The spelling of 12002201212212 in words is "twelve trillion, two billion, two hundred one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 127 149 164 246 254 298 369 381 447 492 508 596 738 762 894 1143 1341 1476 1524 1788 2286 2682 4572 5207 5364 6109 10414 12218 15621 18327 18923 20828 24436 31242 36654 37846 46863 54981 56769 62484 73308 75692 93726 109962 113538 170307 187452 219924 227076 340614 429719 681228 775843 859438 1289157 1551686 1718876 2327529 2578314 3103372 3867471 4655058 5156628 6982587 7734942 9310116 13965174 15469884 17618479 27930348 35236958 52855437 54574313 64028131 70473916 105710874 109148626 128056262 158566311 163722939 192084393 211421748 218297252 256112524 317132622 327445878 384168786 491168817 576253179 634265244 654891756 768337572 982337634 1152506358 1964675268 2237546833 2305012716 2625153371 4475093666 5250306742 6712640499 7875460113 8131572637 8950187332 10500613484 13425280998 15750920226 16263145274 20137921497 23626380339 24394717911 26850561996 31501840452 32526290548 40275842994 47252760678 48789435822 73184153733 80551685988 94505521356 97578871644 146368307466 292736614932 333394478117 666788956234 1000183434351 1333577912468 2000366868702 3000550303053 4000733737404 6001100606106 12002201212212