| Base | Representation |
|---|---|
| bin | 10110100100110101… |
| … | …00101101011001100 |
| 3 | 1011021200010220000210 |
| 4 | 23102122211223030 |
| 5 | 144310222320022 |
| 6 | 5322400122420 |
| 7 | 606230214600 |
| oct | 132232455314 |
| 9 | 34250126023 |
| 10 | 12120120012 |
| 11 | 515a545610 |
| 12 | 2423006410 |
| 13 | 11b2001260 |
| 14 | 82d969500 |
| 15 | 4ae09ba0c |
| hex | 2d26a5acc |
12120120012 has 576 divisors, whose sum is σ = 41892318720. Its totient is φ = 2670796800.
The previous prime is 12120120011. The next prime is 12120120049. The reversal of 12120120012 is 21002102121.
12120120012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 12120120012.
It is not an unprimeable number, because it can be changed into a prime (12120120011) 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 191 ways as a sum of consecutive naturals, for example, 87195039 + ... + 87195177.
It is an arithmetic number, because the mean of its divisors is an integer number (72729720).
Almost surely, 212120120012 is an apocalyptic number.
12120120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12120120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20946159360).
12120120012 is an abundant number, since it is smaller than the sum of its proper divisors (29772198708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12120120012 is a wasteful number, since it uses less digits than its factorization.
12120120012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 262 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 12120120012 its reverse (21002102121), we get a palindrome (33122222133).
The spelling of 12120120012 in words is "twelve billion, one hundred twenty million, one hundred twenty thousand, twelve".
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