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12056241330342 = 23211247683172439
BaseRepresentation
bin1010111101110000111111…
…1110110101100010100110
31120200120021012001201002100
42233130033332311202212
53040012140240032332
641350321044552530
72353014620306436
oct257341776654246
946616235051070
1012056241330342
113929028a1a800
1214286b69b2746
13695b8b523891
142d974d1bc2c6
1515d9256bd67c
hexaf70ffb58a6

12056241330342 has 144 divisors (see below), whose sum is σ = 29366460264960. Its totient is φ = 3570418457760.

The previous prime is 12056241330281. The next prime is 12056241330349. The reversal of 12056241330342 is 24303314265021.

12056241330342 is a `hidden beast` number, since 1 + 2 + 0 + 56 + 241 + 330 + 34 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12056241330297 and 12056241330306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12056241330349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69829759 + ... + 70002197.

It is an arithmetic number, because the mean of its divisors is an integer number (203933751840).

Almost surely, 212056241330342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12056241330342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683230132480).

12056241330342 is an abundant number, since it is smaller than the sum of its proper divisors (17310218934618).

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

12056241330342 is a wasteful number, since it uses less digits than its factorization.

12056241330342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173199 (or 173185 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12056241330342 its reverse (24303314265021), we get a palindrome (36359555595363).

The spelling of 12056241330342 in words is "twelve trillion, fifty-six billion, two hundred forty-one million, three hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 121 141 198 242 282 363 423 517 683 726 846 1034 1089 1366 1551 2049 2178 3102 4098 4653 5687 6147 7513 9306 11374 12294 15026 17061 22539 32101 34122 45078 51183 64202 67617 82643 96303 102366 135234 165286 172439 192606 247929 288909 344878 353111 495858 517317 577818 706222 743787 1034634 1059333 1487574 1551951 1896829 2118666 3103902 3177999 3793658 3884221 5690487 6355998 7768442 8104633 11380974 11652663 16209266 17071461 20865119 23305326 24313899 34142922 34957989 41730238 48627798 62595357 69915978 72941697 89150963 117775837 125190714 145883394 178301926 187786071 235551674 267452889 353327511 375572142 534905778 706655022 802358667 980660593 1059982533 1295534207 1604717334 1961321186 2119965066 2591068414 2941981779 3886602621 5535464339 5883963558 7773205242 8825945337 11070928678 11659807863 14250876277 16606393017 17651890674 23319615726 28501752554 33212786034 42752628831 49819179051 60890107729 85505257662 99638358102 121780215458 128257886493 182670323187 256515772986 365340646374 548010969561 669791185019 1096021939122 1339582370038 2009373555057 4018747110114 6028120665171 12056241330342