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12121122111120 = 2433511510148237
BaseRepresentation
bin1011000001100010101100…
…1011010111111010010000
31120220202201211200212101000
42300120223023113322100
53042043024230023440
641440211105142000
72360502463661631
oct260305313277220
946822654625330
1012121122111120
1139535a2486690
1214391a332a900
1369c02b1c9c19
142dc945d7b888
15160471678730
hexb062b2d7e90

12121122111120 has 160 divisors (see below), whose sum is σ = 45546034688640. Its totient is φ = 2938453839360.

The previous prime is 12121122111113. The next prime is 12121122111167. The reversal of 12121122111120 is 2111122112121.

It is a happy number.

12121122111120 is a `hidden beast` number, since 121 + 211 + 2 + 211 + 1 + 120 = 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 = 12121122111093 and 12121122111102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255050359 + ... + 255097878.

It is an arithmetic number, because the mean of its divisors is an integer number (284662716804).

Almost surely, 212121122111120 is an apocalyptic number.

12121122111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121122111120 is an abundant number, since it is smaller than the sum of its proper divisors (33424912577520).

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

12121122111120 is a wasteful number, since it uses less digits than its factorization.

12121122111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510148270 (or 510148258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12121122111120 its reverse (2111122112121), we get a palindrome (14232244223241).

The spelling of 12121122111120 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 510148237 1020296474 1530444711 2040592948 2550741185 3060889422 4081185896 4591334133 5101482370 5611630607 6121778844 7652223555 8162371792 9182668266 10202964740 11223261214 12243557688 13774002399 15304447110 16834891821 18365336532 20405929480 22446522428 22956670665 24487115376 27548004798 28058153035 30608894220 33669783642 36730673064 40811858960 44893044856 45913341330 50504675463 55096009596 56116306070 61217788440 67339567284 68870011995 73461346128 84174459105 89786089712 91826682660 101009350926 110192019192 112232612140 122435576880 134679134568 137740023990 151514026389 168348918210 183653365320 202018701852 220384038384 224465224280 252523377315 269358269136 275480047980 303028052778 336697836420 367306730640 404037403704 448930448560 505046754630 550960095960 606056105556 673395672840 757570131945 808074807408 1010093509260 1101920191920 1212112211112 1346791345680 1515140263890 2020187018520 2424224422224 3030280527780 4040374037040 6060561055560 12121122111120