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12012221211003 = 3313571427114033
BaseRepresentation
bin1010111011001101000000…
…1011011010000101111011
31120112100122100102221121000
42232303100023122011323
53033302012112223003
641314201021020043
72346566016415206
oct256632013320573
946470570387530
1012012221211003
113911399796592
1214200706b4623
136919946270a0
142d7574b4093d
1515c6eacda1a3
hexaecd02da17b

12012221211003 has 64 divisors (see below), whose sum is σ = 19204224399360. Its totient is φ = 7376936716800.

The previous prime is 12012221210921. The next prime is 12012221211007. The reversal of 12012221211003 is 30011212221021.

It is not a de Polignac number, because 12012221211003 - 222 = 12012217016699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12012221211007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 855991075 + ... + 856005107.

It is an arithmetic number, because the mean of its divisors is an integer number (300066006240).

Almost surely, 212012221211003 is an apocalyptic number.

12012221211003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12012221211003 is a deficient number, since it is larger than the sum of its proper divisors (7192003188357).

12012221211003 is a wasteful number, since it uses less digits than its factorization.

12012221211003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18897 (or 18891 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12012221211003 its reverse (30011212221021), we get a palindrome (42023433432024).

The spelling of 12012221211003 in words is "twelve trillion, twelve billion, two hundred twenty-one million, two hundred eleven thousand, three".

Divisors: 1 3 9 13 27 39 117 351 571 1713 4271 5139 7423 12813 14033 15417 22269 38439 42099 55523 66807 115317 126297 166569 182429 200421 378891 499707 547287 1499121 1641861 2438741 4925583 7316223 8012843 21948669 24038529 31703633 59934943 65846007 72115587 95110899 104166959 179804829 216346761 285332697 312500877 539414487 779154259 855998091 937502631 1618243461 2337462777 2812507893 7012388331 21037164993 34222852453 102668557359 308005672077 444897081889 924017016231 1334691245667 4004073737001 12012221211003