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12322042260 = 22351121989329
BaseRepresentation
bin10110111100111001…
…10111000110010100
31011210202002121021120
423132130313012110
5200213420323020
65354412043540
7614231426313
oct133634670624
934722077246
1012322042260
115253520800
12247a7635b0
131214aac488
1484c6cc27a
154c1b85740
hex2de737194

12322042260 has 144 divisors (see below), whose sum is σ = 39919790400. Its totient is φ = 2829911040.

The previous prime is 12322042247. The next prime is 12322042321. The reversal of 12322042260 is 6224022321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12322042260.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93276 + ... + 182604.

Almost surely, 212322042260 is an apocalyptic number.

12322042260 is a gapful number since it is divisible by the number (10) 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 12322042260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959895200).

12322042260 is an abundant number, since it is smaller than the sum of its proper divisors (27597748140).

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

12322042260 is a wasteful number, since it uses less digits than its factorization.

12322042260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89382 (or 89369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12322042260 its reverse (6224022321), we get a palindrome (18546064581).

The spelling of 12322042260 in words is "twelve billion, three hundred twenty-two million, forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1452 1815 2090 2299 2420 2508 3135 3630 4180 4598 6270 6897 7260 9196 11495 12540 13794 22990 27588 34485 45980 68970 89329 137940 178658 267987 357316 446645 535974 893290 982619 1071948 1339935 1697251 1786580 1965238 2679870 2947857 3394502 3930476 4913095 5091753 5359740 5895714 6789004 8486255 9826190 10183506 10808809 11791428 14739285 16972510 18669761 19652380 20367012 21617618 25458765 29478570 32426427 33945020 37339522 43235236 50917530 54044045 56009283 58957140 64852854 74679044 93348805 101835060 108088090 112018566 129705708 162132135 186697610 205367371 216176180 224037132 280046415 324264270 373395220 410734742 560092830 616102113 648528540 821469484 1026836855 1120185660 1232204226 2053673710 2464408452 3080510565 4107347420 6161021130 12322042260