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12221122232 = 23112941271431
BaseRepresentation
bin10110110000110111…
…11000011010111000
31011112201012100000202
423120123320122320
5200012101402412
65340405021332
7611564552654
oct133033703270
934481170022
1012221122232
115201561020
1224509b4848
1311c9c05c97
1483d13ba64
154b7d9d3c2
hex2d86f86b8

12221122232 has 128 divisors (see below), whose sum is σ = 26649907200. Its totient is φ = 5201280000.

The previous prime is 12221122229. The next prime is 12221122241. The reversal of 12221122232 is 23222112221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28355057 + ... + 28355487.

It is an arithmetic number, because the mean of its divisors is an integer number (208202400).

Almost surely, 212221122232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324953600).

12221122232 is an abundant number, since it is smaller than the sum of its proper divisors (14428784968).

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

12221122232 is a wasteful number, since it uses less digits than its factorization.

12221122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

Adding to 12221122232 its reverse (23222112221), we get a palindrome (35443234453).

The spelling of 12221122232 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 41 44 58 82 88 116 164 232 271 319 328 431 451 542 638 862 902 1084 1189 1276 1724 1804 2168 2378 2552 2981 3448 3608 4741 4756 5962 7859 9482 9512 11111 11924 12499 13079 15718 17671 18964 22222 23848 24998 26158 31436 35342 37928 44444 49996 52316 62872 70684 86449 88888 99992 104632 116801 122221 137489 141368 172898 194381 233602 244442 274978 322219 345796 388762 467204 488884 512459 549956 644438 691592 777524 934408 977768 1024918 1099912 1284811 1288876 1555048 2049836 2569622 2577752 3387229 3544409 4099672 4788841 5139244 5637049 6774458 7088818 9577682 10278488 11274098 13548916 14177636 19155364 22548196 27097832 28355272 37259519 38310728 45096392 52677251 74519038 105354502 138876389 149038076 210709004 277752778 298076152 421418008 555505556 1111011112 1527640279 3055280558 6110561116 12221122232