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12201110112121 = 75379416292269
BaseRepresentation
bin1011000110001100101011…
…0101011000011101111001
31121012102012100020022211121
42301203022311120131321
53044400333142041441
641541040153425241
72366333611530010
oct261431265303571
947172170208747
1012201110112121
113984509637737
1214507a710b221
136a67379c0328
143027732b1a77
151625a3a76dd1
hexb18cad58779

12201110112121 has 16 divisors (see below), whose sum is σ = 14387060851200. Its totient is φ = 10130888634048.

The previous prime is 12201110112097. The next prime is 12201110112167. The reversal of 12201110112121 is 12121101110221.

It is not a de Polignac number, because 12201110112121 - 25 = 12201110112089 is a prime.

It is a super-2 number, since 2×122011101121212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201110112095 and 12201110112104.

It is not an unprimeable number, because it can be changed into a prime (12201110112421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208116826 + ... + 208175443.

It is an arithmetic number, because the mean of its divisors is an integer number (899191303200).

Almost surely, 212201110112121 is an apocalyptic number.

It is an amenable number.

12201110112121 is a deficient number, since it is larger than the sum of its proper divisors (2185950739079).

12201110112121 is an equidigital number, since it uses as much as digits as its factorization.

12201110112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416292408.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 12201110112121 its reverse (12121101110221), we get a palindrome (24322211222342).

The spelling of 12201110112121 in words is "twelve trillion, two hundred one billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 53 79 371 553 4187 29309 416292269 2914045883 22063490257 32887089251 154444431799 230209624757 1743015730303 12201110112121