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12171617121 = 322691788103
BaseRepresentation
bin10110101010111110…
…00010001101100001
31011102021001012210010
423111133002031201
5144411413221441
65331435555133
7610424016126
oct132537021541
934367035703
1012171617121
115186619104
1224382bbaa9
1311bc891c11
1483673274d
154b3870116
hex2d57c2361

12171617121 has 8 divisors (see below), whose sum is σ = 16235984320. Its totient is φ = 8110830672.

The previous prime is 12171617111. The next prime is 12171617153.

12171617121 is nontrivially palindromic in base 10.

12171617121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12171617121 - 29 = 12171616609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12171617111) 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 7 ways as a sum of consecutive naturals, for example, 887245 + ... + 900858.

It is an arithmetic number, because the mean of its divisors is an integer number (2029498040).

Almost surely, 212171617121 is an apocalyptic number.

It is an amenable number.

12171617121 is a deficient number, since it is larger than the sum of its proper divisors (4064367199).

12171617121 is a wasteful number, since it uses less digits than its factorization.

12171617121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790375.

The product of its digits is 1176, while the sum is 30.

The spelling of 12171617121 in words is "twelve billion, one hundred seventy-one million, six hundred seventeen thousand, one hundred twenty-one".

Divisors: 1 3 2269 6807 1788103 5364309 4057205707 12171617121