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22020221121120 = 2532515719733813
BaseRepresentation
bin1010000000110111110110…
…11101010011001001100000
32212222010001001220202000200
411000123323131103021200
510341234403101333440
6114455541103545200
74431623415146565
oct500337335231140
985863031822020
1022020221121120
11701a7a5836472
1225777bb5bb200
13c39661c93821
14561ada51286c
15282be320bc30
hex1406fb753260

22020221121120 has 144 divisors (see below), whose sum is σ = 75191844257712. Its totient is φ = 5868320578560.

The previous prime is 22020221121113. The next prime is 22020221121121. The reversal of 22020221121120 is 2112112202022.

It is a happy number.

22020221121120 is a `hidden beast` number, since 2 + 20 + 202 + 211 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 22020221121093 and 22020221121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020221121121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2604667 + ... + 7129146.

It is an arithmetic number, because the mean of its divisors is an integer number (522165585123).

Almost surely, 222020221121120 is an apocalyptic number.

22020221121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020221121120 is an abundant number, since it is smaller than the sum of its proper divisors (53171623136592).

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

22020221121120 is a wasteful number, since it uses less digits than its factorization.

22020221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735405 (or 9735394 counting only the distinct ones).

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

Adding to 22020221121120 its reverse (2112112202022), we get a palindrome (24132333323142).

The spelling of 22020221121120 in words is "twenty-two trillion, twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1571 3142 4713 6284 7855 9426 12568 14139 15710 18852 23565 25136 28278 31420 37704 47130 50272 56556 62840 70695 75408 94260 113112 125680 141390 150816 188520 226224 251360 282780 377040 452448 565560 754080 1131120 2262240 9733813 19467626 29201439 38935252 48669065 58402878 77870504 87604317 97338130 116805756 146007195 155741008 175208634 194676260 233611512 292014390 311482016 350417268 389352520 438021585 467223024 584028780 700834536 778705040 876043170 934446048 1168057560 1401669072 1557410080 1752086340 2336115120 2803338144 3504172680 4672230240 7008345360 14016690720 15291820223 30583640446 45875460669 61167280892 76459101115 91750921338 122334561784 137626382007 152918202230 183501842676 229377303345 244669123568 275252764014 305836404460 367003685352 458754606690 489338247136 550505528028 611672808920 688131910035 734007370704 917509213380 1101011056056 1223345617840 1376263820070 1468014741408 1835018426760 2202022112112 2446691235680 2752527640140 3670036853520 4404044224224 5505055280280 7340073707040 11010110560560 22020221121120