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12220221312312 = 23313210728157711
BaseRepresentation
bin1011000111010011110111…
…1100110100110100111000
31121021020112020022212221220
42301310331330310310320
53100204003123443222
641553520413032040
72400611322203556
oct261647574646470
947236466285856
1012220221312312
113991626394262
12145443b485620
136a84921c3500
14303667514bd6
15162d21779b5c
hexb1d3df34d38

12220221312312 has 96 divisors (see below), whose sum is σ = 33390541198080. Its totient is φ = 3724927140480.

The previous prime is 12220221312293. The next prime is 12220221312317. The reversal of 12220221312312 is 21321312202221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220221312317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13644864 + ... + 14512847.

It is an arithmetic number, because the mean of its divisors is an integer number (347818137480).

Almost surely, 212220221312312 is an apocalyptic number.

12220221312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220221312312 is an abundant number, since it is smaller than the sum of its proper divisors (21170319885768).

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

12220221312312 is a wasteful number, since it uses less digits than its factorization.

12220221312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28157853 (or 28157836 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12220221312312 its reverse (21321312202221), we get a palindrome (33541533514533).

The spelling of 12220221312312 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-one million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 169 214 312 321 338 428 507 642 676 856 1014 1284 1352 1391 2028 2568 2782 4056 4173 5564 8346 11128 16692 18083 33384 36166 54249 72332 108498 144664 216996 433992 28157711 56315422 84473133 112630844 168946266 225261688 337892532 366050243 675785064 732100486 1098150729 1464200972 2196301458 2928401944 3012875077 4392602916 4758653159 6025750154 8785205832 9038625231 9517306318 12051500308 14275959477 18077250462 19034612636 24103000616 28551918954 36154500924 38069225272 39167376001 57103837908 72309001848 78334752002 114207675816 117502128003 156669504004 235004256006 313339008008 470008512012 509175888013 940017024024 1018351776026 1527527664039 2036703552052 3055055328078 4073407104104 6110110656156 12220221312312