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12121130312330 = 2513229793130627
BaseRepresentation
bin1011000001100010101110…
…1010101010001010001010
31120220202202102010112022112
42300120223222222022022
53042043033324443310
641440212001022322
72360502623460104
oct260305352521212
946822672115275
1012121130312330
1139535a7078346
1214391a60249a2
1369c02cb0bb00
142dc9470b4574
15160472248705
hexb062baaa28a

12121130312330 has 96 divisors (see below), whose sum is σ = 24749492716800. Its totient is φ = 4266467202816.

The previous prime is 12121130312329. The next prime is 12121130312341. The reversal of 12121130312330 is 3321303112121.

It is a junction number, because it is equal to n+sod(n) for n = 12121130312296 and 12121130312305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306477 + ... + 5437103.

It is an arithmetic number, because the mean of its divisors is an integer number (257807215800).

Almost surely, 212121130312330 is an apocalyptic number.

12121130312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121130312330 is an abundant number, since it is smaller than the sum of its proper divisors (12628362404470).

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

12121130312330 is a wasteful number, since it uses less digits than its factorization.

12121130312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130768 (or 3130755 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12121130312330 its reverse (3321303112121), we get a palindrome (15442433424451).

The spelling of 12121130312330 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirty million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 79 130 145 158 169 290 338 377 395 754 790 845 1027 1690 1885 2054 2291 3770 4582 4901 5135 9802 10270 11455 13351 22910 24505 26702 29783 49010 59566 66755 133510 148915 297830 387179 774358 1935895 3130627 3871790 6261254 15653135 31306270 40698151 81396302 90788183 181576366 203490755 247319533 406981510 453940915 494639066 529075963 907881830 1058151926 1180246379 1236597665 2360492758 2473195330 2645379815 3215153929 5290759630 5901231895 6430307858 7172266457 11802463790 14344532914 15343202927 16075769645 30686405854 32151539290 35861332285 41797001077 71722664570 76716014635 83594002154 93239463941 153432029270 186478927882 208985005385 417970010770 466197319705 932394639410 1212113031233 2424226062466 6060565156165 12121130312330