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12022332220321 = 277172130418293
BaseRepresentation
bin1010111011110010101011…
…0101110110001110100001
31120120022202000002102212121
42232330222311312032201
53033433214022022241
641322552211024241
72350404412524403
oct256745265661641
946508660072777
1012022332220321
113915708131535
12142201289b081
13692916311137
142d7c5391cb73
1515cadd7c4ad1
hexaef2ad763a1

12022332220321 has 16 divisors (see below), whose sum is σ = 12078171273168. Its totient is φ = 11966589849600.

The previous prime is 12022332220309. The next prime is 12022332220331. The reversal of 12022332220321 is 12302223322021.

It can be written as a sum of positive squares in 8 ways, for example, as 161575057296 + 11860757163025 = 401964^2 + 3443945^2 .

It is a cyclic number.

It is not a de Polignac number, because 12022332220321 - 27 = 12022332220193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12022332220331) 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, 1449692251 + ... + 1449700543.

It is an arithmetic number, because the mean of its divisors is an integer number (754885704573).

Almost surely, 212022332220321 is an apocalyptic number.

It is an amenable number.

12022332220321 is a deficient number, since it is larger than the sum of its proper divisors (55839052847).

12022332220321 is a wasteful number, since it uses less digits than its factorization.

12022332220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12022332220321 its reverse (12302223322021), we get a palindrome (24324555542342).

The spelling of 12022332220321 in words is "twelve trillion, twenty-two billion, three hundred thirty-two million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 277 1721 3041 8293 476717 842357 2297161 5233561 14272253 25219013 1449696397 3953414081 6985666601 43401921373 12022332220321