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2022222212120 = 23511163104926879
BaseRepresentation
bin11101011011010101110…
…101100010110000011000
321011022201010212012011102
4131123111311202300120
5231113002341241440
64144555052050532
7266046360122345
oct35332565426030
97138633765142
102022222212120
1170a68a7a0750
12287b06163a48
13118905449906
146dc39d557cc
1537908da1b15
hex1d6d5d62c18

2022222212120 has 128 divisors (see below), whose sum is σ = 4999034880000. Its totient is φ = 730118292480.

The previous prime is 2022222212089. The next prime is 2022222212149. The reversal of 2022222212120 is 212122222202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2022222212092 and 2022222212101.

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, 75220841 + ... + 75247719.

It is an arithmetic number, because the mean of its divisors is an integer number (39054960000).

Almost surely, 22022222212120 is an apocalyptic number.

2022222212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022222212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499517440000).

2022222212120 is an abundant number, since it is smaller than the sum of its proper divisors (2976812667880).

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

2022222212120 is a wasteful number, since it uses less digits than its factorization.

2022222212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28113 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2022222212120 its reverse (212122222202), we get a palindrome (2234344434322).

The spelling of 2022222212120 in words is "two trillion, twenty-two billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1049 1304 1630 1793 2098 3260 3586 4196 5245 6520 7172 8392 8965 10490 11539 14344 17930 20980 23078 26879 35860 41960 46156 53758 57695 71720 92312 107516 115390 134395 170987 215032 230780 268790 295669 341974 461560 537580 591338 683948 854935 1075160 1182676 1367896 1478345 1709870 1880857 2365352 2956690 3419740 3761714 4381277 5913380 6839480 7523428 8762554 9404285 11826760 15046856 17525108 18808570 21906385 28196071 35050216 37617140 43812770 48194047 56392142 75234280 87625540 96388094 112784284 140980355 175251080 192776188 225568568 240970235 281960710 310156781 385552376 481940470 563921420 620313562 963880940 1127842840 1240627124 1550783905 1927761880 2481254248 3101567810 4595959573 6203135620 9191919146 12406271240 18383838292 22979797865 36767676584 45959595730 50555555303 91919191460 101111110606 183838382920 202222221212 252777776515 404444442424 505555553030 1011111106060 2022222212120