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22022120021120 = 275192238121209
BaseRepresentation
bin1010000000111011011001…
…01001000001110010000000
32212222021221102000212010022
411000131230221001302000
510341302300211133440
6114500453335553012
74432021443425312
oct500355451016200
985867842025108
1022022120021120
11702058a70010a
12257804b52b768
13c398a55007ab
14561c3a7b17b2
15282ca4c9dcb5
hex14076ca41c80

22022120021120 has 128 divisors (see below), whose sum is σ = 55666021824000. Its totient is φ = 8307800875008.

The previous prime is 22022120021093. The next prime is 22022120021129. The reversal of 22022120021120 is 2112002122022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×220221200211202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22022120021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348925 + ... + 6772284.

It is an arithmetic number, because the mean of its divisors is an integer number (434890795500).

Almost surely, 222022120021120 is an apocalyptic number.

22022120021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022120021120 is an abundant number, since it is smaller than the sum of its proper divisors (33643901802880).

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

22022120021120 is a wasteful number, since it uses less digits than its factorization.

22022120021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121470 (or 8121458 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22022120021120 its reverse (2112002122022), we get a palindrome (24134122143142).

The spelling of 22022120021120 in words is "twenty-two trillion, twenty-two billion, one hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 223 304 320 380 446 608 640 760 892 1115 1216 1520 1784 2230 2432 3040 3568 4237 4460 6080 7136 8474 8920 12160 14272 16948 17840 21185 28544 33896 35680 42370 67792 71360 84740 135584 142720 169480 271168 338960 542336 677920 1355840 2711680 8121209 16242418 32484836 40606045 64969672 81212090 129939344 154302971 162424180 259878688 308605942 324848360 519757376 617211884 649696720 771514855 1039514752 1234423768 1299393440 1543029710 1811029607 2468847536 2598786880 3086059420 3622059214 4937695072 5197573760 6172118840 7244118428 9055148035 9875390144 12344237680 14488236856 18110296070 19750780288 24688475360 28976473712 34409562533 36220592140 49376950720 57952947424 68819125066 72441184280 98753901440 115905894848 137638250132 144882368560 172047812665 231811789696 275276500264 289764737120 344095625330 550553000528 579529474240 688191250660 1101106001056 1159058948480 1376382501320 2202212002112 2752765002640 4404424004224 5505530005280 11011060010560 22022120021120