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12222020220120 = 233454877745849
BaseRepresentation
bin1011000111011010100100…
…1011000111010011011000
31121021102011121021212120000
42301312221023013103120
53100221144134020440
641554415113533000
72401004024522004
oct261665113072330
947242147255500
1012222020220120
113992369872327
121454861a14160
136a86baac03b9
143037983c5704
15162dc9669730
hexb1da92c74d8

12222020220120 has 160 divisors (see below), whose sum is σ = 41163925572000. Its totient is φ = 3252512558592.

The previous prime is 12222020220119. The next prime is 12222020220139. The reversal of 12222020220120 is 2102202022221.

12222020220120 is a `hidden beast` number, since 1 + 22 + 220 + 202 + 201 + 20 = 666.

12222020220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122220202201202 (a number of 27 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 = 12222020220093 and 12222020220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2295045 + ... + 5450804.

It is an arithmetic number, because the mean of its divisors is an integer number (257274534825).

Almost surely, 212222020220120 is an apocalyptic number.

12222020220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222020220120 is an abundant number, since it is smaller than the sum of its proper divisors (28941905351880).

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

12222020220120 is a wasteful number, since it uses less digits than its factorization.

12222020220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746359 (or 7746346 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12222020220120 its reverse (2102202022221), we get a palindrome (14324222242341).

The spelling of 12222020220120 in words is "twelve trillion, two hundred twenty-two billion, twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 487 540 648 810 974 1080 1461 1620 1948 2435 2922 3240 3896 4383 4870 5844 7305 8766 9740 11688 13149 14610 17532 19480 21915 26298 29220 35064 39447 43830 52596 58440 65745 78894 87660 105192 131490 157788 175320 197235 262980 315576 394470 525960 788940 1577880 7745849 15491698 23237547 30983396 38729245 46475094 61966792 69712641 77458490 92950188 116187735 139425282 154916980 185900376 209137923 232375470 278850564 309833960 348563205 418275846 464750940 557701128 627413769 697126410 836551692 929501880 1045689615 1254827538 1394252820 1673103384 2091379230 2509655076 2788505640 3137068845 3772228463 4182758460 5019310152 6274137690 7544456926 8365516920 11316685389 12548275380 15088913852 18861142315 22633370778 25096550760 30177827704 33950056167 37722284630 45266741556 56583426945 67900112334 75444569260 90533483112 101850168501 113166853890 135800224668 150889138520 169750280835 203700337002 226333707780 271600449336 305550505503 339500561670 407400674004 452667415560 509250842505 611101011006 679001123340 814801348008 1018501685010 1222202022012 1358002246680 1527752527515 2037003370020 2444404044024 3055505055030 4074006740040 6111010110060 12222020220120