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121020221112120 = 233351110186887299
BaseRepresentation
bin11011100001000100110111…
…010010100011111100111000
3120212111102100021210101111000
4123201010313102203330320
5111330243403101041440
61105215531100005000
734330264616434641
oct3341046722437470
9525442307711430
10121020221112120
1135619429910a10
12116a6643230760
13526b208b39ac5
1421c55a4cb86c8
15ded031262730
hex6e11374a3f38

121020221112120 has 128 divisors (see below), whose sum is σ = 440073531360000. Its totient is φ = 29338235418240.

The previous prime is 121020221112067. The next prime is 121020221112149. The reversal of 121020221112120 is 21211122020121.

121020221112120 is a `hidden beast` number, since 1 + 210 + 2 + 0 + 221 + 112 + 120 = 666.

It is a super-2 number, since 2×1210202211121202 (a number of 29 digits) contains 22 as substring.

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 = 121020221112093 and 121020221112102.

It is a congruent number.

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, 5093431770 + ... + 5093455529.

It is an arithmetic number, because the mean of its divisors is an integer number (3438074463750).

Almost surely, 2121020221112120 is an apocalyptic number.

121020221112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020221112120 is an abundant number, since it is smaller than the sum of its proper divisors (319053310247880).

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

121020221112120 is a wasteful number, since it uses less digits than its factorization.

121020221112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186887330 (or 10186887320 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121020221112120 its reverse (21211122020121), we get a palindrome (142231343132241).

It can be divided in two parts, 1210202 and 21112120, that added together give a palindrome (22322322).

The spelling of 121020221112120 in words is "one hundred twenty-one trillion, twenty billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 10186887299 20373774598 30560661897 40747549196 50934436495 61121323794 81495098392 91681985691 101868872990 112055760289 122242647588 152803309485 183363971382 203737745980 224111520578 244485295176 275045957073 305606618970 336167280867 366727942764 407475491960 448223041156 458409928455 550091914146 560278801445 611213237940 672334561734 733455885528 896446082312 916819856910 1008501842601 1100183828292 1120557602890 1222426475880 1344669123468 1375229785365 1680836404335 1833639713820 2017003685202 2200367656584 2241115205780 2689338246936 2750459570730 3025505527803 3361672808670 3667279427640 4034007370404 4482230411560 5042509213005 5500919141460 6051011055606 6723345617340 8068014740808 10085018426010 11001838282920 12102022111212 13446691234680 15127527639015 20170036852020 24204044222424 30255055278030 40340073704040 60510110556060 121020221112120