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12321003200 = 265211700057
BaseRepresentation
bin10110111100110001…
…11001011011000000
31011210200010210221212
423132120321123000
5200213134100300
65354333505252
7614216541062
oct133630713300
934720123855
1012321003200
115252981080
12247a342228
13121480754c
1484c4db732
154c1a2c935
hex2de6396c0

12321003200 has 84 divisors (see below), whose sum is σ = 33073540152. Its totient is φ = 4480358400.

The previous prime is 12321003173. The next prime is 12321003203. The reversal of 12321003200 is 230012321.

It is a happy number.

12321003200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12321003203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332429 + ... + 367628.

Almost surely, 212321003200 is an apocalyptic number.

12321003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321003200 is an abundant number, since it is smaller than the sum of its proper divisors (20752536952).

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

12321003200 is a wasteful number, since it uses less digits than its factorization.

12321003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700090 (or 700075 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12321003200 its reverse (230012321), we get a palindrome (12551015521).

The spelling of 12321003200 in words is "twelve billion, three hundred twenty-one million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 700057 1400114 2800228 3500285 5600456 7000570 7700627 11200912 14001140 15401254 17501425 22401824 28002280 30802508 35002850 38503135 44803648 56004560 61605016 70005700 77006270 112009120 123210032 140011400 154012540 192515675 224018240 246420064 280022800 308025080 385031350 492840128 560045600 616050160 770062700 1120091200 1232100320 1540125400 2464200640 3080250800 6160501600 12321003200