Base | Representation |
---|---|
bin | 10110010110110000… |
… | …11010111010010001 |
3 | 1010222110002102021010 |
4 | 23023120122322101 |
5 | 144040020023441 |
6 | 5302542521133 |
7 | 603265155420 |
oct | 131330327221 |
9 | 33873072233 |
10 | 12002111121 |
11 | 50a9973800 |
12 | 23ab5961a9 |
13 | 1193723700 |
14 | 81c00b2b7 |
15 | 4a3a3b116 |
hex | 2cb61ae91 |
12002111121 has 144 divisors (see below), whose sum is σ = 22929285120. Its totient is φ = 5448643200.
The previous prime is 12002111087. The next prime is 12002111123. The reversal of 12002111121 is 12111120021.
12002111121 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 12002111121 - 29 = 12002110609 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 12002111097 and 12002111106.
It is not an unprimeable number, because it can be changed into a prime (12002111123) 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 143 ways as a sum of consecutive naturals, for example, 8158416 + ... + 8159886.
Almost surely, 212002111121 is an apocalyptic number.
12002111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
12002111121 is a deficient number, since it is larger than the sum of its proper divisors (10927173999).
12002111121 is a wasteful number, since it uses less digits than its factorization.
12002111121 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1548 (or 1524 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 12002111121 its reverse (12111120021), we get a palindrome (24113231142).
The spelling of 12002111121 in words is "twelve billion, two million, one hundred eleven thousand, one hundred twenty-one".
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