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12002011333012 = 22374119711298893
BaseRepresentation
bin1010111010100110111110…
…0111110100000110010100
31120111101021210202101222201
42232221233213310012110
53033120104400124022
641305351535534244
72346055013035111
oct256515747640624
946441253671881
1012002011333012
11390802a562098
12141a0a138a384
13690a2830446c
142d6c86b87908
1515c2ee7c1127
hexaea6f9f4194

12002011333012 has 96 divisors (see below), whose sum is σ = 22231649452320. Its totient is φ = 5661833748480.

The previous prime is 12002011333009. The next prime is 12002011333121. The reversal of 12002011333012 is 21033311020021.

It can be written as a sum of positive squares in 16 ways, for example, as 3547210627216 + 8454800705796 = 1883404^2 + 2907714^2 .

It is a congruent number.

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, 1349597638 + ... + 1349606530.

It is an arithmetic number, because the mean of its divisors is an integer number (231579681795).

Almost surely, 212002011333012 is an apocalyptic number.

It is an amenable number.

12002011333012 is a deficient number, since it is larger than the sum of its proper divisors (10229638119308).

12002011333012 is a wasteful number, since it uses less digits than its factorization.

12002011333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12002011333012 its reverse (21033311020021), we get a palindrome (33035322353033).

The spelling of 12002011333012 in words is "twelve trillion, two billion, eleven million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 4 37 41 74 82 148 164 197 394 788 1129 1517 2258 3034 4516 6068 7289 8077 8893 14578 16154 17786 29156 32308 35572 41773 46289 83546 92578 167092 185156 222413 298849 329041 364613 444826 597698 658082 729226 889652 1195396 1316164 1458452 1712693 1751921 3425386 3503842 6850772 7007684 8229281 9118933 10040197 13490681 16458562 18237866 20080394 26981362 32917124 36475732 40160788 53962724 64821077 71828761 129642154 143657522 259284308 287315044 337400521 371487289 411648077 674801042 742974578 823296154 1349602084 1485949156 1646592308 1977918809 2657664157 3955837618 5315328314 7911675236 10630656628 15230978849 30461957698 60923915396 73182995933 81094671169 146365991866 162189342338 292731983732 324378684676 3000502833253 6001005666506 12002011333012