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12222010001201 = 7111347733558671
BaseRepresentation
bin1011000111011010100010…
…0100001000011100110001
31121021102010220001200211112
42301312220210020130301
53100221134030014301
641554414110523105
72401003541621150
oct261665044103461
947242126050745
1012222010001201
113992364022740
12145485a506495
136a86b8952cc0
14303796cc5597
15162dc87eb9bb
hexb1da8908731

12222010001201 has 64 divisors (see below), whose sum is σ = 16988701556736. Its totient is φ = 8486146828800.

The previous prime is 12222010001197. The next prime is 12222010001207. The reversal of 12222010001201 is 10210001022221.

It is a cyclic number.

It is not a de Polignac number, because 12222010001201 - 22 = 12222010001197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12222010001207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1655096 + ... + 5213766.

It is an arithmetic number, because the mean of its divisors is an integer number (265448461824).

Almost surely, 212222010001201 is an apocalyptic number.

12222010001201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222010001201 is a deficient number, since it is larger than the sum of its proper divisors (4766691555535).

12222010001201 is a wasteful number, since it uses less digits than its factorization.

12222010001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558822.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12222010001201 its reverse (10210001022221), we get a palindrome (22432011023422).

The spelling of 12222010001201 in words is "twelve trillion, two hundred twenty-two billion, ten million, one thousand, two hundred one".

Divisors: 1 7 11 13 47 73 77 91 143 329 511 517 611 803 949 1001 3431 3619 4277 5621 6643 6721 10439 24017 37741 44603 47047 73073 264187 312221 490633 3434431 3558671 24910697 39145381 46262723 167257537 259782983 274017667 323839061 508889953 1170802759 1818480881 1839832907 2174347981 2857612813 3377178779 3562229671 12209800201 12878830349 15220435867 20003289691 23640251453 23917827791 37148966569 85468601407 134307802211 158727402613 167424794537 260042765983 940154615477 1111091818291 1746001428743 12222010001201