Search a number
-
+
12012210023100 = 22352734691648919
BaseRepresentation
bin1010111011001100111110…
…0000101110101010111100
31120112100121120101112200020
42232303033200232222330
53033302001231214400
641314155541132140
72346565522340340
oct256631740565274
946470546345606
1012012210023100
113911393444991
1214200689ba050
1369199220a921
142d757346b620
1515c6e9d2a2a0
hexaeccf82eabc

12012210023100 has 144 divisors (see below), whose sum is σ = 39731848665600. Its totient is φ = 2744854859520.

The previous prime is 12012210023063. The next prime is 12012210023123. The reversal of 12012210023100 is 132001221021.

It is a super-2 number, since 2×120122100231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012210023100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6460441 + ... + 8109359.

Almost surely, 212012210023100 is an apocalyptic number.

12012210023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012210023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865924332800).

12012210023100 is an abundant number, since it is smaller than the sum of its proper divisors (27719638642500).

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

12012210023100 is a wasteful number, since it uses less digits than its factorization.

12012210023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652412 (or 1652405 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12012210023100 its reverse (132001221021), we get a palindrome (12144211244121).

The spelling of 12012210023100 in words is "twelve trillion, twelve billion, two hundred ten million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3469 6938 10407 13876 17345 20814 24283 34690 41628 48566 52035 69380 72849 86725 97132 104070 121415 145698 173450 208140 242830 260175 291396 346900 364245 485660 520350 607075 728490 1040700 1214150 1456980 1648919 1821225 2428300 3297838 3642450 4946757 6595676 7284900 8244595 9893514 11542433 16489190 19787028 23084866 24733785 32978380 34627299 41222975 46169732 49467570 57712165 69254598 82445950 98935140 115424330 123668925 138509196 164891900 173136495 230848660 247337850 288560825 346272990 494675700 577121650 692545980 865682475 1154243300 1731364950 3462729900 5720100011 11440200022 17160300033 22880400044 28600500055 34320600066 40040700077 57201000110 68641200132 80081400154 85801500165 114402000220 120122100231 143002500275 160162800308 171603000330 200203500385 240244200462 286005000550 343206000660 400407000770 429007500825 480488400924 572010001100 600610501155 800814001540 858015001650 1001017501925 1201221002310 1716030003300 2002035003850 2402442004620 3003052505775 4004070007700 6006105011550 12012210023100