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12122102221020 = 223251132801186649
BaseRepresentation
bin1011000001100110010110…
…0110001100100011011100
31120220212021010221121101200
42300121211212030203130
53042102031132033040
641440452240235500
72360535664532121
oct260314546144334
946825233847350
1012122102221020
113953a55754770
12143941760bb90
1369c1562919cc
142dc9da1cc748
151604cc72b630
hexb066598c8dc

12122102221020 has 144 divisors (see below), whose sum is σ = 40114576101600. Its totient is φ = 2938586112000.

The previous prime is 12122102221013. The next prime is 12122102221049. The reversal of 12122102221020 is 2012220122121.

It is a happy number.

12122102221020 is a `hidden beast` number, since 1 + 212 + 210 + 2 + 221 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122102220984 and 12122102221002.

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, 64852656 + ... + 65039304.

It is an arithmetic number, because the mean of its divisors is an integer number (278573445150).

Almost surely, 212122102221020 is an apocalyptic number.

12122102221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102221020 is an abundant number, since it is smaller than the sum of its proper divisors (27992473880580).

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

12122102221020 is a wasteful number, since it uses less digits than its factorization.

12122102221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219476 (or 219471 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122102221020 its reverse (2012220122121), we get a palindrome (14134322343141).

The spelling of 12122102221020 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 32801 65602 98403 131204 164005 186649 196806 295209 328010 360811 373298 393612 492015 559947 590418 656020 721622 746596 933245 984030 1082433 1119894 1180836 1443244 1476045 1679841 1804055 1866490 1968060 2053139 2164866 2239788 2799735 2952090 3247299 3359682 3608110 3732980 4106278 4329732 5412165 5599470 5904180 6159417 6494598 6719364 7216220 8212556 8399205 10265695 10824330 11198940 12318834 12989196 16236495 16798410 18478251 20531390 21648660 24637668 30797085 32472990 33596820 36956502 41062780 61594170 64945980 73913004 92391255 123188340 184782510 369565020 6122273849 12244547698 18366821547 24489095396 30611369245 36733643094 55100464641 61222738490 67345012339 73467286188 91834107735 110200929282 122445476980 134690024678 183668215470 202035037017 220401858564 269380049356 275502323205 336725061695 367336430940 404070074034 551004646410 606105111051 673450123390 808140148068 1010175185085 1102009292820 1212210222102 1346900246780 2020350370170 2424420444204 3030525555255 4040700740340 6061051110510 12122102221020