| Base | Representation |
|---|---|
| bin | 1110101101100… |
| … | …00001101000000 |
| 3 | 22121012122000000 |
| 4 | 13112300031000 |
| 5 | 223042430440 |
| 6 | 20125000000 |
| 7 | 3025632456 |
| oct | 726601500 |
| 9 | 277178000 |
| 10 | 123405120 |
| 11 | 63728103 |
| 12 | 353b3000 |
| 13 | 1c749aa7 |
| 14 | 125649d6 |
| 15 | ac79730 |
| hex | 75b0340 |
123405120 has 294 divisors, whose sum is σ = 460574898. Its totient is φ = 31477248.
The previous prime is 123405083. The next prime is 123405157. The reversal of 123405120 is 21504321.
It is an interprime number because it is at equal distance from previous prime (123405083) and next prime (123405157).
It can be written as a sum of positive squares in only one way, i.e., 98724096 + 24681024 = 9936^2 + 4968^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 123405093 and 123405102.
It is a congruent number.
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 41 ways as a sum of consecutive naturals, for example, 5365429 + ... + 5365451.
Almost surely, 2123405120 is an apocalyptic number.
123405120 is a gapful number since it is divisible by the number (10) 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 123405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230287449).
123405120 is an abundant number, since it is smaller than the sum of its proper divisors (337169778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123405120 is an frugal number, since it uses more digits than its factorization.
123405120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 123405120 is about 11108.7857122190. The cubic root of 123405120 is about 497.8643846142.
Adding to 123405120 its reverse (21504321), we get a palindrome (144909441).
The spelling of 123405120 in words is "one hundred twenty-three million, four hundred five thousand, one hundred twenty".
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