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12221312320 = 26576778059
BaseRepresentation
bin10110110000111001…
…00110110101000000
31011112201112222210001
423120130212311000
5200012123443240
65340413045344
7611566304110
oct133034466500
934481488701
1012221312320
115201680918
122450a86854
1311c9c71669
1483d18b040
154b7dd989a
hex2d8726d40

12221312320 has 112 divisors (see below), whose sum is σ = 33312689280. Its totient is φ = 4183455744.

The previous prime is 12221312309. The next prime is 12221312351. The reversal of 12221312320 is 2321312221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512451 + ... + 1520509.

Almost surely, 212221312320 is an apocalyptic number.

12221312320 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 12221312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656344640).

12221312320 is an abundant number, since it is smaller than the sum of its proper divisors (21091376960).

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

12221312320 is an equidigital number, since it uses as much as digits as its factorization.

12221312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12221312320 its reverse (2321312221), we get a palindrome (14542624541).

Subtracting from 12221312320 its reverse (2321312221), we obtain a palindrome (9900000099).

The spelling of 12221312320 in words is "twelve billion, two hundred twenty-one million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 677 1120 1354 2240 2708 3385 4739 5416 6770 8059 9478 10832 13540 16118 18956 21664 23695 27080 32236 37912 40295 43328 47390 54160 56413 64472 75824 80590 94780 108320 112826 128944 151648 161180 189560 216640 225652 257888 282065 303296 322360 379120 451304 515776 564130 644720 758240 902608 1128260 1289440 1516480 1805216 2256520 2578880 3610432 4513040 5455943 9026080 10911886 18052160 21823772 27279715 38191601 43647544 54559430 76383202 87295088 109118860 152766404 174590176 190958005 218237720 305532808 349180352 381916010 436475440 611065616 763832020 872950880 1222131232 1527664040 1745901760 2444262464 3055328080 6110656160 12221312320