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12255213320 = 2357535913997
BaseRepresentation
bin10110110100111011…
…11011011100001000
31011122002100100012122
423122131323130020
5200044313311240
65344023430412
7612460410620
oct133235733410
934562310178
1012255213320
115219826179
1224602b5408
131203cb111c
14843893880
154bad844b5
hex2da77b708

12255213320 has 128 divisors (see below), whose sum is σ = 32654534400. Its totient is φ = 4052345856.

The previous prime is 12255213239. The next prime is 12255213331. The reversal of 12255213320 is 2331255221.

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 12255213320.

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, 868562 + ... + 882558.

It is an arithmetic number, because the mean of its divisors is an integer number (255113550).

Almost surely, 212255213320 is an apocalyptic number.

12255213320 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 12255213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327267200).

12255213320 is an abundant number, since it is smaller than the sum of its proper divisors (20399321080).

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

12255213320 is a wasteful number, since it uses less digits than its factorization.

12255213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14127 (or 14123 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 12255213320 its reverse (2331255221), we get a palindrome (14586468541).

The spelling of 12255213320 in words is "twelve billion, two hundred fifty-five million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 59 70 106 118 140 212 236 265 280 295 371 413 424 472 530 590 742 826 1060 1180 1484 1652 1855 2065 2120 2360 2968 3127 3304 3710 4130 6254 7420 8260 12508 13997 14840 15635 16520 21889 25016 27994 31270 43778 55988 62540 69985 87556 97979 109445 111976 125080 139970 175112 195958 218890 279940 391916 437780 489895 559880 741841 783832 825823 875560 979790 1483682 1651646 1959580 2967364 3303292 3709205 3919160 4129115 5192887 5780761 5934728 6606584 7418410 8258230 10385774 11561522 14836820 16516460 20771548 23123044 25964435 28903805 29673640 33032920 41543096 43768619 46246088 51928870 57807610 87537238 103857740 115615220 175074476 207715480 218843095 231230440 306380333 350148952 437686190 612760666 875372380 1225521332 1531901665 1750744760 2451042664 3063803330 6127606660 12255213320