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12332221040 = 2451994331789
BaseRepresentation
bin10110111110000111…
…01100001001110000
31011211110020201221102
423133003230021300
5200224022033130
65355414143532
7614414102126
oct133703541160
934743221842
1012332221040
115259243217
122482051ba8
131216c34519
1484dbbb916
154c29e6645
hex2df0ec270

12332221040 has 80 divisors (see below), whose sum is σ = 28899192000. Its totient is φ = 4894027776.

The previous prime is 12332221021. The next prime is 12332221049. The reversal of 12332221040 is 4012223321.

12332221040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332221049) 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 15 ways as a sum of consecutive naturals, for example, 6892466 + ... + 6894254.

It is an arithmetic number, because the mean of its divisors is an integer number (361239900).

Almost surely, 212332221040 is an apocalyptic number.

12332221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332221040 is an abundant number, since it is smaller than the sum of its proper divisors (16566970960).

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

12332221040 is a wasteful number, since it uses less digits than its factorization.

12332221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12332221040 its reverse (4012223321), we get a palindrome (16344444361).

The spelling of 12332221040 in words is "twelve billion, three hundred thirty-two million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 199 398 433 796 866 995 1592 1732 1789 1990 2165 3184 3464 3578 3980 4330 6928 7156 7960 8660 8945 14312 15920 17320 17890 28624 34640 35780 71560 86167 143120 172334 344668 356011 430835 689336 712022 774637 861670 1378672 1424044 1549274 1723340 1780055 2848088 3098548 3446680 3560110 3873185 5696176 6197096 6893360 7120220 7746370 12394192 14240440 15492740 28480880 30985480 61970960 154152763 308305526 616611052 770763815 1233222104 1541527630 2466444208 3083055260 6166110520 12332221040