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12031321330120 = 2353744992919489
BaseRepresentation
bin1010111100010100001010…
…1000100101000111001000
31120121011221110200112100011
42233011002220211013020
53034110121230030440
641331040202521304
72351143233640531
oct257050250450710
946534843615304
1012031321330120
1139195002647a4
121423901206234
1369371974a611
142d84676db688
1515ce67a4e9ea
hexaf142a251c8

12031321330120 has 128 divisors (see below), whose sum is σ = 27895452300000. Its totient is φ = 4666762985472.

The previous prime is 12031321330103. The next prime is 12031321330163. The reversal of 12031321330120 is 2103312313021.

It can be written as a sum of positive squares in 16 ways, for example, as 23835036996 + 12007486293124 = 154386^2 + 3465182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12031321330091 and 12031321330100.

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, 617329336 + ... + 617348824.

Almost surely, 212031321330120 is an apocalyptic number.

12031321330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031321330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947726150000).

12031321330120 is an abundant number, since it is smaller than the sum of its proper divisors (15864130969880).

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

12031321330120 is a wasteful number, since it uses less digits than its factorization.

12031321330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20915 (or 20911 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12031321330120 its reverse (2103312313021), we get a palindrome (14134633643141).

The spelling of 12031321330120 in words is "twelve trillion, thirty-one billion, three hundred twenty-one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 449 740 898 929 1480 1796 1858 2245 3592 3716 4490 4645 7432 8980 9290 16613 17960 18580 19489 33226 34373 37160 38978 66452 68746 77956 83065 97445 132904 137492 155912 166130 171865 194890 274984 332260 343730 389780 417121 664520 687460 721093 779560 834242 1374920 1442186 1668484 2085605 2884372 3336968 3605465 4171210 5768744 7210930 8342420 8750561 14421860 15433477 16684840 17501122 18105281 28843720 30866954 35002244 36210562 43752805 61733908 70004488 72421124 77167385 87505610 90526405 123467816 144842248 154334770 175011220 181052810 308669540 323770757 350022440 362105620 617339080 647541514 669895397 724211240 1295083028 1339790794 1618853785 2590166056 2679581588 3237707570 3349476985 5359163176 6475415140 6698953970 8129271169 12950830280 13397907940 16258542338 26795815880 32517084676 40646355845 65034169352 81292711690 162585423380 300783033253 325170846760 601566066506 1203132133012 1503915166265 2406264266024 3007830332530 6015660665060 12031321330120