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12012110121 = 3111727497789
BaseRepresentation
bin10110010111111101…
…00100000100101001
31011000010220102022110
423023332210010221
5144100100010441
65303541112533
7603446152134
oct131376440451
934003812273
1012012110121
115104583140
1223b29b8749
13119581498b
1481d49121b
154a4863b16
hex2cbfa4129

12012110121 has 32 divisors (see below), whose sum is σ = 18509040000. Its totient is φ = 6848455680.

The previous prime is 12012110063. The next prime is 12012110141. The reversal of 12012110121 is 12101121021.

12012110121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12012110121 - 222 = 12007915817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12012110097 and 12012110106.

It is not an unprimeable number, because it can be changed into a prime (12012110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538295 + ... + 1546083.

It is an arithmetic number, because the mean of its divisors is an integer number (578407500).

Almost surely, 212012110121 is an apocalyptic number.

12012110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012110121 is a deficient number, since it is larger than the sum of its proper divisors (6496929879).

12012110121 is a wasteful number, since it uses less digits than its factorization.

12012110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10569.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12012110121 its reverse (12101121021), we get a palindrome (24113231142).

The spelling of 12012110121 in words is "twelve billion, twelve million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 2749 7789 8247 23367 30239 46733 85679 90717 132413 140199 257037 397239 514063 1456543 1542189 4369629 21411961 64235883 235531571 364003337 706594713 1092010011 4004036707 12012110121