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12022211222021 = 7211132172456679
BaseRepresentation
bin1010111011110010001110…
…1000010001101000000101
31120120022102120102002102002
42232330203220101220011
53033432442033101041
641322532205355045
72350401413204600
oct256744350215005
946508376362362
1012022211222021
1139156558a8740
121421b9a268a85
136928c7227a00
142d7c41823337
1515cad2d7359b
hexaef23a11a05

12022211222021 has 108 divisors (see below), whose sum is σ = 17549209530720. Its totient is φ = 8138659576320.

The previous prime is 12022211221967. The next prime is 12022211222029.

12022211222021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12022211222021 - 26 = 12022211221957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12022211221984 and 12022211222002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022211222029) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26096960 + ... + 26553638.

It is an arithmetic number, because the mean of its divisors is an integer number (162492680840).

Almost surely, 212022211222021 is an apocalyptic number.

12022211222021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12022211222021 is a deficient number, since it is larger than the sum of its proper divisors (5526998308699).

12022211222021 is a wasteful number, since it uses less digits than its factorization.

12022211222021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456764 (or 456727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1202221 and 1222021, that added together give a palindrome (2424242).

The spelling of 12022211222021 in words is "twelve trillion, twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 7 11 13 17 49 77 91 119 143 169 187 221 289 539 637 833 1001 1183 1309 1547 1859 2023 2431 2873 3179 3757 7007 8281 9163 10829 13013 14161 17017 20111 22253 26299 31603 41327 48841 91091 119119 140777 155771 184093 221221 289289 341887 456679 537251 1548547 2025023 2393209 3196753 3760757 5023469 5936827 7763543 22377271 26325299 35164283 41557789 54344801 65305097 77178751 85398973 100926059 131980231 246149981 290904523 380413607 457135679 540251257 597792811 706482413 848966261 923861617 1110186649 1312038767 1451782541 1715743003 3199949753 3781758799 4184549677 4945376891 5942763827 6467031319 7771306543 9184271369 10162477787 12010201021 14432426437 18873173033 22304659039 41599346789 54399145801 64289899583 71137344509 84071407147 101026985059 132112211231 156132613273 245351249429 707188895413 924785478617 1092928292911 1717458746003 12022211222021