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12104220600045 = 3257290715793833
BaseRepresentation
bin1011000000100011101111…
…0001001110011011101101
31120212011002221112010212100
42300020323301032123231
53041303420433200140
641424334023125313
72356333604340300
oct260107361163355
946764087463770
1012104220600045
113947409a77212
121435a66ba3839
1369a56673b5b2
142dbbc13b8b37
1515ecd2958530
hexb023bc4e6ed

12104220600045 has 144 divisors (see below), whose sum is σ = 24454821792960. Its totient is φ = 5522315678208.

The previous prime is 12104220600037. The next prime is 12104220600067. The reversal of 12104220600045 is 54000602240121.

12104220600045 is a `hidden beast` number, since 1 + 2 + 10 + 4 + 2 + 2 + 0 + 600 + 0 + 45 = 666.

It is not a de Polignac number, because 12104220600045 - 23 = 12104220600037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12104220599991 and 12104220600018.

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 143 ways as a sum of consecutive naturals, for example, 3157895449 + ... + 3157899281.

It is an arithmetic number, because the mean of its divisors is an integer number (169825151340).

Almost surely, 212104220600045 is an apocalyptic number.

12104220600045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12104220600045 is an abundant number, since it is smaller than the sum of its proper divisors (12350601192915).

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

12104220600045 is a wasteful number, since it uses less digits than its factorization.

12104220600045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12104220600045 its reverse (54000602240121), we get a palindrome (66104822840166).

The spelling of 12104220600045 in words is "twelve trillion, one hundred four billion, two hundred twenty million, six hundred thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 907 1579 2205 2721 3833 4535 4737 6349 7895 8163 11053 11499 13605 14211 19047 19165 23685 26831 31745 33159 34497 40815 44443 55265 57141 57495 71055 77371 80493 95235 99477 133329 134155 165795 172485 187817 222215 232113 241479 285705 386855 399987 402465 497385 563451 666645 696339 939085 1160565 1207395 1432153 1690353 1999935 2817255 3476531 3481695 4296459 6052307 7160765 8451765 10025071 10429593 12889377 17382655 18156921 21482295 24335717 30075213 30261535 31288779 42366149 50125355 52147965 54470763 64446885 70175497 73007151 90225639 90784605 121678585 127098447 150376065 156443895 170350019 210526491 211830745 219021453 272353815 296563043 350877485 365035755 381295341 451128195 511050057 631579473 635492235 851750095 889689129 1052632455 1095107265 1482815215 1533150171 1906476705 2555250285 2669067387 3157897365 4448445645 5489442449 7665750855 13345336935 16468327347 27447212245 38426097143 49404982041 82341636735 115278291429 192130485715 247024910205 268982680001 345834874287 576391457145 806948040003 1344913400005 1729174371435 2420844120009 4034740200015 12104220600045