Base | Representation |
---|---|
bin | 101101110010… |
… | …001101001000 |
3 | 211120202210222 |
4 | 231302031020 |
5 | 11033031440 |
6 | 1105125212 |
7 | 204005414 |
oct | 55621510 |
9 | 24522728 |
10 | 12002120 |
11 | 6858409 |
12 | 4029808 |
13 | 2642c60 |
14 | 1845d44 |
15 | 10c12b5 |
hex | b72348 |
12002120 has 32 divisors (see below), whose sum is σ = 29083320. Its totient is φ = 4431360.
The previous prime is 12002093. The next prime is 12002147. The reversal of 12002120 is 2120021.
It is an interprime number because it is at equal distance from previous prime (12002093) and next prime (12002147).
It can be written as a sum of positive squares in 4 ways, for example, as 7431076 + 4571044 = 2726^2 + 2138^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a junction number, because it is equal to n+sod(n) for n = 12002098 and 12002107.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11021 + ... + 12060.
Almost surely, 212002120 is an apocalyptic number.
12002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12002120 is an abundant number, since it is smaller than the sum of its proper divisors (17081200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002120 is a wasteful number, since it uses less digits than its factorization.
12002120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23105 (or 23101 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 12002120 is about 3464.4075972668. The cubic root of 12002120 is about 228.9563299068.
Adding to 12002120 its reverse (2120021), we get a palindrome (14122141).
The spelling of 12002120 in words is "twelve million, two thousand, one hundred twenty".
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