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12012013121 = 29537998927
BaseRepresentation
bin10110010111111100…
…01100011001000001
31011000010201111020212
423023332030121001
5144100033404441
65303535043505
7603445266263
oct131376143101
934003644225
1012012013121
115104517279
1223b2970595
1311957ac794
1481d467b33
154a4844eeb
hex2cbf8c641

12012013121 has 16 divisors (see below), whose sum is σ = 12821068800. Its totient is φ = 11234827968.

The previous prime is 12012013099. The next prime is 12012013129. The reversal of 12012013121 is 12131021021.

12012013121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12012013121 - 218 = 12011750977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12012013096 and 12012013105.

It is not an unprimeable number, because it can be changed into a prime (12012013129) 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 15 ways as a sum of consecutive naturals, for example, 71960 + ... + 170886.

It is an arithmetic number, because the mean of its divisors is an integer number (801316800).

Almost surely, 212012013121 is an apocalyptic number.

It is an amenable number.

12012013121 is a deficient number, since it is larger than the sum of its proper divisors (809055679).

12012013121 is an equidigital number, since it uses as much as digits as its factorization.

12012013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99088.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12012013121 its reverse (12131021021), we get a palindrome (24143034142).

The spelling of 12012013121 in words is "twelve billion, twelve million, thirteen thousand, one hundred twenty-one".

Divisors: 1 29 53 79 1537 2291 4187 98927 121423 2868883 5243131 7815233 152050799 226641757 414207349 12012013121