Base | Representation |
---|---|
bin | 1110101011010… |
… | …10100111111111 |
3 | 22120200011001201 |
4 | 13111222213333 |
5 | 223004321002 |
6 | 20114520331 |
7 | 3023334544 |
oct | 725524777 |
9 | 276604051 |
10 | 123120127 |
11 | 63552a79 |
12 | 352960a7 |
13 | 1c67a160 |
14 | 124ccbcb |
15 | ac20087 |
hex | 756a9ff |
123120127 has 32 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 102072960.
The previous prime is 123120091. The next prime is 123120131. The reversal of 123120127 is 721021321.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-123120127 is a prime.
It is a super-2 number, since 2×1231201272 = 30317131344992258, which contains 22 as substring.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123120227) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342774 + ... + 343132.
It is an arithmetic number, because the mean of its divisors is an integer number (4596480).
Almost surely, 2123120127 is an apocalyptic number.
123120127 is a deficient number, since it is larger than the sum of its proper divisors (23967233).
123120127 is a wasteful number, since it uses less digits than its factorization.
123120127 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 463.
The product of its (nonzero) digits is 168, while the sum is 19.
The square root of 123120127 is about 11095.9509281539. The cubic root of 123120127 is about 497.4808315637.
Adding to 123120127 its reverse (721021321), we get a palindrome (844141448).
The spelling of 123120127 in words is "one hundred twenty-three million, one hundred twenty thousand, one hundred twenty-seven".
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