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12122103332340 = 22325207821324053
BaseRepresentation
bin1011000001100110010110…
…1010011011110111110100
31120220212021020001001211200
42300121211222123313310
53042102031423113330
641440452320132500
72360536010141121
oct260314552336764
946825236031750
1012122103332340
113953a56343711
121439417a67130
1369c1565907b1
142dc9da3db748
151604cc89aa60
hexb0665a9bdf4

12122103332340 has 72 divisors (see below), whose sum is σ = 36770670511848. Its totient is φ = 3232535358720.

The previous prime is 12122103332237. The next prime is 12122103332371. The reversal of 12122103332340 is 4323330122121.

12122103332340 is a `hidden beast` number, since 1 + 212 + 2 + 103 + 3 + 3 + 2 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1388315479824 + 10733787852516 = 1178268^2 + 3276246^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37245754 + ... + 37569806.

It is an arithmetic number, because the mean of its divisors is an integer number (510703757109).

Almost surely, 212122103332340 is an apocalyptic number.

12122103332340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122103332340 is an abundant number, since it is smaller than the sum of its proper divisors (24648567179508).

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

12122103332340 is a wasteful number, since it uses less digits than its factorization.

12122103332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531889 (or 531884 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12122103332340 its reverse (4323330122121), we get a palindrome (16445433454461).

The spelling of 12122103332340 in words is "twelve trillion, one hundred twenty-two billion, one hundred three million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 207821 324053 415642 623463 648106 831284 972159 1039105 1246926 1296212 1620265 1870389 1944318 2078210 2493852 2916477 3117315 3240530 3740778 3888636 4156420 4860795 5832954 6234630 6481060 7481556 9351945 9721590 11665908 12469260 14582385 18703890 19443180 29164770 37407780 58329540 67345018513 134690037026 202035055539 269380074052 336725092565 404070111078 606105166617 673450185130 808140222156 1010175277695 1212210333234 1346900370260 2020350555390 2424420666468 3030525833085 4040701110780 6061051666170 12122103332340