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12111311201312 = 2519831879127727
BaseRepresentation
bin1011000000111110001001…
…1001101110010000100000
31120212211102002202000020002
42300033202121232100200
53041412431131420222
641431505355235132
72360004403425221
oct260174231562040
946784362660202
1012111311201312
11394a418482964
121437305748aa8
1369b12674704b
142dc294d9b248
1516009a1bc392
hexb03e266e420

12111311201312 has 96 divisors (see below), whose sum is σ = 25415215257600. Its totient is φ = 5664756411648.

The previous prime is 12111311201291. The next prime is 12111311201323. The reversal of 12111311201312 is 21310211311121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94757993 + ... + 94885719.

It is an arithmetic number, because the mean of its divisors is an integer number (264741825600).

Almost surely, 212111311201312 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 12111311201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707607628800).

12111311201312 is an abundant number, since it is smaller than the sum of its proper divisors (13303904056288).

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

12111311201312 is a wasteful number, since it uses less digits than its factorization.

12111311201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129718 (or 129710 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 12111311201312 its reverse (21310211311121), we get a palindrome (33421522512433).

The spelling of 12111311201312 in words is "twelve trillion, one hundred eleven billion, three hundred eleven million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 83 152 166 304 332 608 664 1328 1577 1879 2656 3154 3758 6308 7516 12616 15032 25232 30064 35701 50464 60128 71402 127727 142804 155957 255454 285608 311914 510908 571216 623828 1021816 1142432 1247656 2043632 2426813 2495312 2963183 4087264 4853626 4990624 5926366 9707252 10601341 11852732 19414504 21202682 23705464 38829008 42405364 47410928 77658016 84810728 94821856 169621456 201425479 239999033 339242912 402850958 479998066 805701916 959996132 1611403832 1919992264 3222807664 3839984528 4559981627 6445615328 7679969056 9119963254 18239926508 19919919739 36479853016 39839839478 72959706032 79679678956 145919412064 159359357912 318718715824 378478475041 637437431648 756956950082 1513913900164 3027827800328 6055655600656 12111311201312