Base | Representation |
---|---|
bin | 10110100101001011… |
… | …01100101000111001 |
3 | 1011021212121211200200 |
4 | 23102211230220321 |
5 | 144311444011441 |
6 | 5322542352413 |
7 | 606264033654 |
oct | 132245545071 |
9 | 34255554620 |
10 | 12123032121 |
11 | 5161154512 |
12 | 2423b8b709 |
13 | 11b27b08b5 |
14 | 8300c689b |
15 | 4ae4747b6 |
hex | 2d296ca39 |
12123032121 has 12 divisors (see below), whose sum is σ = 17684424420. Its totient is φ = 8002000800.
The previous prime is 12123032113. The next prime is 12123032147.
12123032121 is nontrivially palindromic in base 10.
12123032121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 11689934400 + 433097721 = 108120^2 + 20811^2 .
It is not a de Polignac number, because 12123032121 - 23 = 12123032113 is a prime.
It is an alternating number because its digits alternate between odd and even.
It is a junction number, because it is equal to n+sod(n) for n = 12123032094 and 12123032103.
It is not an unprimeable number, because it can be changed into a prime (12123033121) 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 11 ways as a sum of consecutive naturals, for example, 6667426 + ... + 6669243.
It is an arithmetic number, because the mean of its divisors is an integer number (1473702035).
Almost surely, 212123032121 is an apocalyptic number.
It is an amenable number.
12123032121 is a deficient number, since it is larger than the sum of its proper divisors (5561392299).
12123032121 is a wasteful number, since it uses less digits than its factorization.
12123032121 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13336776 (or 13336773 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
It can be divided in two parts, 121230 and 32121, that added together give a palindrome (153351).
The spelling of 12123032121 in words is "twelve billion, one hundred twenty-three million, thirty-two thousand, one hundred twenty-one".
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