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12031320013212 = 22347113226783273
BaseRepresentation
bin1010111100010100001010…
…0011100011100110011100
31120121011221101012121212210
42233011002203203212130
53034110120410410322
641331040114400420
72351143216514253
oct257050243434634
946534841177783
1012031320013212
1139194aa545345
121423900890110
136937193a9096
142d846747779a
1515ce6788e70c
hexaf1428e399c

12031320013212 has 96 divisors (see below), whose sum is σ = 28937206029312. Its totient is φ = 3888613206016.

The previous prime is 12031320013199. The next prime is 12031320013217. The reversal of 12031320013212 is 21231002313021.

It is a super-2 number, since 2×120313200132122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031320013217) 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, 144438808 + ... + 144522080.

It is an arithmetic number, because the mean of its divisors is an integer number (301429229472).

Almost surely, 212031320013212 is an apocalyptic number.

12031320013212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12031320013212 is an abundant number, since it is smaller than the sum of its proper divisors (16905886016100).

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

12031320013212 is a wasteful number, since it uses less digits than its factorization.

12031320013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85707 (or 85705 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12031320013212 its reverse (21231002313021), we get a palindrome (33262322326233).

The spelling of 12031320013212 in words is "twelve trillion, thirty-one billion, three hundred twenty million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 47 94 113 141 188 226 282 339 452 564 678 1356 2267 4534 5311 6801 9068 10622 13602 15933 21244 27204 31866 63732 83273 106549 166546 213098 249819 256171 319647 333092 426196 499638 512342 639294 768513 999276 1024684 1278588 1537026 3074052 3913831 7827662 9409849 11741493 12040037 15655324 18819698 23482986 24080074 28229547 36120111 37639396 46965972 48160148 56459094 72240222 112918188 144480444 188779891 377559782 442262903 566339673 755119564 884525806 1132679346 1326788709 1769051612 2265358692 2653577418 5307154836 8872654877 17745309754 21332127683 26617964631 35490619508 42664255366 53235929262 63996383049 85328510732 106471858524 127992766098 255985532196 1002610001101 2005220002202 3007830003303 4010440004404 6015660006606 12031320013212