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12330213220 = 225131726310607
BaseRepresentation
bin10110111101111000…
…00001111101100100
31011211022110201201201
423132330001331210
5200223013310340
65355303132244
7614361040333
oct133674017544
934738421651
1012330213220
1152580a1766
122481444084
1312166b0670
1484d817d1a
154c274b79a
hex2def01f64

12330213220 has 96 divisors (see below), whose sum is σ = 29640619008. Its totient is φ = 4268193792.

The previous prime is 12330213209. The next prime is 12330213317. The reversal of 12330213220 is 2231203321.

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 31 ways as a sum of consecutive naturals, for example, 1157157 + ... + 1167763.

It is an arithmetic number, because the mean of its divisors is an integer number (308756448).

Almost surely, 212330213220 is an apocalyptic number.

12330213220 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 12330213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820309504).

12330213220 is an abundant number, since it is smaller than the sum of its proper divisors (17310405788).

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

12330213220 is a wasteful number, since it uses less digits than its factorization.

12330213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12330213220 its reverse (2231203321), we get a palindrome (14561416541).

The spelling of 12330213220 in words is "twelve billion, three hundred thirty million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 263 340 442 526 884 1052 1105 1315 2210 2630 3419 4420 4471 5260 6838 8942 10607 13676 17095 17884 21214 22355 34190 42428 44710 53035 58123 68380 89420 106070 116246 137891 180319 212140 232492 275782 290615 360638 551564 581230 689455 721276 901595 1162460 1378910 1803190 2344147 2757820 2789641 3606380 4688294 5579282 9376588 11158564 11720735 13948205 23441470 27896410 36265333 46882940 47423897 55792820 72530666 94847794 145061332 181326665 189695588 237119485 362653330 474238970 616510661 725306660 948477940 1233021322 2466042644 3082553305 6165106610 12330213220