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12181920273820 = 22511475919968397
BaseRepresentation
bin1011000101000101001100…
…0001111101010110011100
31121010120122222011112111201
42301101103001331112130
53044042033042230240
641524144044525244
72365054224561403
oct261212301752634
947116588145451
1012181920273820
11397736145a140
121448b30550824
136a499a11591b
1430187283c63a
15161d2deddd9a
hexb145307d59c

12181920273820 has 96 divisors (see below), whose sum is σ = 28984529064960. Its totient is φ = 4262054442240.

The previous prime is 12181920273791. The next prime is 12181920273821. The reversal of 12181920273820 is 2837202918121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12181920273821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9374139 + ... + 10594258.

It is an arithmetic number, because the mean of its divisors is an integer number (301922177760).

Almost surely, 212181920273820 is an apocalyptic number.

12181920273820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12181920273820 is an abundant number, since it is smaller than the sum of its proper divisors (16802608791140).

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

12181920273820 is a wasteful number, since it uses less digits than its factorization.

12181920273820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19968523 (or 19968521 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 12181920273820 in words is "twelve trillion, one hundred eighty-one billion, nine hundred twenty million, two hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 59 94 110 118 188 220 235 236 295 470 517 590 649 940 1034 1180 1298 2068 2585 2596 2773 3245 5170 5546 6490 10340 11092 12980 13865 27730 30503 55460 61006 122012 152515 305030 610060 19968397 39936794 79873588 99841985 199683970 219652367 399367940 439304734 878609468 938514659 1098261835 1178135423 1877029318 2196523670 2356270846 3754058636 4393047340 4692573295 4712541692 5890677115 9385146590 10323661249 11781354230 12959489653 18770293180 20647322498 23562708460 25918979306 41294644996 51618306245 51837958612 55372364881 64797448265 103236612490 110744729762 129594896530 206473224980 221489459524 259189793060 276861824405 553723648810 609096013691 1107447297620 1218192027382 2436384054764 3045480068455 6090960136910 12181920273820