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12112121130032 = 24711372391111757
BaseRepresentation
bin1011000001000001001010…
…1011010110110000110000
31120212220111112202122120002
42300100102223112300300
53041421111002130112
641432122011005132
72360033436623360
oct260202253266060
946786445678502
1012112121130032
11394a7a3685340
1214374b0a397a8
1369b225495201
142dc33078c9a0
151600e63561c2
hexb0412ad6c30

12112121130032 has 160 divisors (see below), whose sum is σ = 30174357288960. Its totient is φ = 4572252195840.

The previous prime is 12112121130029. The next prime is 12112121130079. The reversal of 12112121130032 is 23003112121121.

It is a junction number, because it is equal to n+sod(n) for n = 12112121129986 and 12112121130013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10338698 + ... + 11450454.

It is an arithmetic number, because the mean of its divisors is an integer number (188589733056).

Almost surely, 212112121130032 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 12112121130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087178644480).

12112121130032 is an abundant number, since it is smaller than the sum of its proper divisors (18062236158928).

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

12112121130032 is a wasteful number, since it uses less digits than its factorization.

12112121130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112059 (or 1112053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12112121130032 its reverse (23003112121121), we get a palindrome (35115233251153).

The spelling of 12112121130032 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 239 259 296 308 407 478 518 592 616 814 956 1036 1232 1628 1673 1912 2072 2629 2849 3256 3346 3824 4144 5258 5698 6512 6692 8843 10516 11396 13384 17686 18403 21032 22792 26768 35372 36806 42064 45584 61901 70744 73612 97273 123802 141488 147224 194546 247604 294448 389092 495208 680911 778184 990416 1111757 1361822 1556368 2223514 2723644 4447028 5447288 7782299 8894056 10894576 12229327 15564598 17788112 24458654 31129196 41135009 48917308 62258392 82270018 85605289 97834616 124516784 164540036 171210578 195669232 265709923 287945063 329080072 342421156 452485099 531419846 575890126 658160144 684842312 904970198 1062839692 1151780252 1369684624 1809940396 1859969461 2125679384 2303560504 2922809153 3167395693 3619880792 3719938922 4251358768 4607121008 5845618306 6334791386 7239761584 7439877844 9831267151 11691236612 12669582772 14879755688 19662534302 20459664071 23382473224 25339165544 29759511376 39325068604 40919328142 46764946448 50678331088 68818870057 78650137208 81838656284 108143938661 137637740114 157300274416 163677312568 216287877322 275275480228 327354625136 432575754644 550550960456 757007570627 865151509288 1101101920912 1514015141254 1730303018576 3028030282508 6056060565016 12112121130032