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12003111100020 = 22355326449142711
BaseRepresentation
bin1010111010101011000100…
…1011000101111001110100
31120111111010110011100201010
42232222301023011321310
53033124332420200040
641310053023432220
72346124165640655
oct256526113057164
946444113140633
1012003111100020
113908544328347
12141a349755670
13690b72103081
142d6d4cc6552c
1515c36610ce80
hexaeab12c5e74

12003111100020 has 96 divisors (see below), whose sum is σ = 34244372332800. Its totient is φ = 3140295874560.

The previous prime is 12003111099983. The next prime is 12003111100049. The reversal of 12003111100020 is 2000111130021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12003111099969 and 12003111100005.

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 31 ways as a sum of consecutive naturals, for example, 84036465 + ... + 84179175.

It is an arithmetic number, because the mean of its divisors is an integer number (356712211800).

Almost surely, 212003111100020 is an apocalyptic number.

12003111100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003111100020 is an abundant number, since it is smaller than the sum of its proper divisors (22241261232780).

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

12003111100020 is a wasteful number, since it uses less digits than its factorization.

12003111100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169225 (or 169223 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12003111100020 its reverse (2000111130021), we get a palindrome (14003222230041).

The spelling of 12003111100020 in words is "twelve trillion, three billion, one hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 26449 52898 79347 105796 132245 142711 158694 264490 285422 317388 396735 428133 528980 570844 713555 793470 856266 1401797 1427110 1586940 1712532 2140665 2803594 2854220 4205391 4281330 5607188 7008985 7563683 8410782 8562660 14017970 15127366 16821564 21026955 22691049 28035940 30254732 37818415 42053910 45382098 75636830 84107820 90764196 113455245 151273660 226910490 453820980 3774563239 7549126478 11323689717 15098252956 18872816195 22647379434 37745632390 45294758868 56618448585 75491264780 113236897170 200051851667 226473794340 400103703334 600155555001 800207406668 1000259258335 1200311110002 2000518516670 2400622220004 3000777775005 4001037033340 6001555550010 12003111100020