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122110221101220 = 2232511211292283549
BaseRepresentation
bin11011110000111100000000…
…010110100010100010100100
3121000100121211021001222010200
4123300330000112202202210
5112001123213100214340
61111412354450350500
734502113053453522
oct3360740026424244
9530317737058120
10122110221101220
11359a972144a790
1211841941b8b430
135319c37c22961
142222248219312
15e1b578d52330
hex6f0f005a28a4

122110221101220 has 144 divisors (see below), whose sum is σ = 405988865755200. Its totient is φ = 29462181638400.

The previous prime is 122110221101147. The next prime is 122110221101227. The reversal of 122110221101220 is 22101122011221.

122110221101220 is a `hidden beast` number, since 1 + 2 + 211 + 0 + 221 + 10 + 1 + 220 = 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 = 122110221101193 and 122110221101202.

It is not an unprimeable number, because it can be changed into a prime (122110221101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145723995 + ... + 146559554.

It is an arithmetic number, because the mean of its divisors is an integer number (2819367123300).

Almost surely, 2122110221101220 is an apocalyptic number.

122110221101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110221101220 is an abundant number, since it is smaller than the sum of its proper divisors (283878644653980).

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

122110221101220 is a wasteful number, since it uses less digits than its factorization.

122110221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292283786 (or 292283781 counting only the distinct ones).

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

Adding to 122110221101220 its reverse (22101122011221), we get a palindrome (144211343112441).

It can be divided in two parts, 1221102 and 21101220, that added together give a palindrome (22322322).

The spelling of 122110221101220 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty-one million, one hundred one thousand, two hundred 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 99 110 132 165 180 198 211 220 330 396 422 495 633 660 844 990 1055 1266 1899 1980 2110 2321 2532 3165 3798 4220 4642 6330 6963 7596 9284 9495 11605 12660 13926 18990 20889 23210 27852 34815 37980 41778 46420 69630 83556 104445 139260 208890 417780 292283549 584567098 876850647 1169134196 1461417745 1753701294 2630551941 2922835490 3215119039 3507402588 4384253235 5261103882 5845670980 6430238078 8768506470 9645357117 10522207764 12860476156 13152759705 16075595195 17537012940 19290714234 26305519410 28936071351 32151190390 38581428468 48226785585 52611038820 57872142702 61671828839 64302380780 96453571170 115744285404 123343657678 144680356755 185015486517 192907142340 246687315356 289360713510 308359144195 370030973034 555046459551 578721427020 616718288390 678390117229 740061946068 925077432585 1110092919102 1233436576780 1356780234458 1850154865170 2035170351687 2220185838204 2713560468916 2775232297755 3391950586145 3700309730340 4070340703374 5550464595510 6105511055061 6783901172290 8140681406748 10175851758435 11100929191020 12211022110122 13567802344580 20351703516870 24422044220244 30527555275305 40703407033740 61055110550610 122110221101220