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12220013232 = 2432712123029
BaseRepresentation
bin10110110000101111…
…01001101010110000
31011112122002222202200
423120113221222300
5200011310410412
65340325143200
7611552253510
oct133027515260
934478088680
1012220013232
115200973899
12245055ab00
1311c990827b
1483cd2d840
154b7c2e9dc
hex2d85e9ab0

12220013232 has 60 divisors (see below), whose sum is σ = 39084648720. Its totient is φ = 3491432064.

The previous prime is 12220013231. The next prime is 12220013233. The reversal of 12220013232 is 23231002221.

12220013232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12220013231) and next prime (12220013233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12220013231) 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, 6060507 + ... + 6062522.

It is an arithmetic number, because the mean of its divisors is an integer number (651410812).

Almost surely, 212220013232 is an apocalyptic number.

12220013232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220013232 is an abundant number, since it is smaller than the sum of its proper divisors (26864635488).

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

12220013232 is a wasteful number, since it uses less digits than its factorization.

12220013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123050 (or 12123041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12220013232 its reverse (23231002221), we get a palindrome (35451015453).

The spelling of 12220013232 in words is "twelve billion, two hundred twenty million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12123029 24246058 36369087 48492116 72738174 84861203 96984232 109107261 145476348 169722406 193968464 218214522 254583609 290952696 339444812 436429044 509167218 581905392 678889624 763750827 872858088 1018334436 1357779248 1527501654 1745716176 2036668872 3055003308 4073337744 6110006616 12220013232