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12122823585438 = 23219353853117721
BaseRepresentation
bin1011000001101001000010…
…0101111110111010011110
31120220221010102022201100100
42300122100211332322132
53042110020314213223
641441052005441530
72360562604164306
oct260322045767236
946827112281310
1012122823585438
113954295966505
1214395991102a6
1369c23c871567
142dca67d28606
15160520c1e043
hexb069097ee9e

12122823585438 has 96 divisors (see below), whose sum is σ = 27759610438560. Its totient is φ = 3812907479040.

The previous prime is 12122823585409. The next prime is 12122823585443. The reversal of 12122823585438 is 83458532822121.

12122823585438 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 8 + 23 + 585 + 4 + 38 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102920418 + ... + 103038138.

It is an arithmetic number, because the mean of its divisors is an integer number (289162608735).

Almost surely, 212122823585438 is an apocalyptic number.

12122823585438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122823585438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879805219280).

12122823585438 is an abundant number, since it is smaller than the sum of its proper divisors (15636786853122).

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

12122823585438 is a wasteful number, since it uses less digits than its factorization.

12122823585438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118954 (or 118951 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 12122823585438 in words is "twelve trillion, one hundred twenty-two billion, eight hundred twenty-three million, five hundred eighty-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 353 706 853 1059 1706 2118 2559 3177 5118 6354 6707 7677 13414 15354 16207 20121 32414 40242 48621 60363 97242 117721 120726 145863 235442 291726 301109 353163 602218 706326 903327 1059489 1806654 2118978 2236699 2709981 4473398 5419962 5721071 6710097 11442142 13420194 17163213 20130291 34326426 40260582 41555513 51489639 83111026 100416013 102979278 124666539 200832026 249333078 301248039 373999617 602496078 747999234 789554747 903744117 1579109494 1807488234 1907904247 2368664241 3815808494 4737328482 5723712741 7105992723 11447425482 14211985446 17171138223 34342276446 35446852589 70893705178 106340557767 212681115534 319021673301 638043346602 673490199191 1346980398382 2020470597573 4040941195146 6061411792719 12122823585438