| Base | Representation |
|---|---|
| bin | 1110101010101… |
| … | …11101001110100 |
| 3 | 22120112012110200 |
| 4 | 13111113221310 |
| 5 | 222444324140 |
| 6 | 20113120500 |
| 7 | 3022562154 |
| oct | 725275164 |
| 9 | 276465420 |
| 10 | 123042420 |
| 11 | 634aa656 |
| 12 | 35259130 |
| 13 | 1c650987 |
| 14 | 124ac764 |
| 15 | ac07030 |
| hex | 7557a74 |
123042420 has 72 divisors (see below), whose sum is σ = 374663016. Its totient is φ = 32685312.
The previous prime is 123042397. The next prime is 123042443. The reversal of 123042420 is 24240321.
It is an interprime number because it is at equal distance from previous prime (123042397) and next prime (123042443).
It can be written as a sum of positive squares in 4 ways, for example, as 30074256 + 92968164 = 5484^2 + 9642^2 .
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 = 123042393 and 123042402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51574 + ... + 53906.
It is an arithmetic number, because the mean of its divisors is an integer number (5203653).
Almost surely, 2123042420 is an apocalyptic number.
123042420 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 123042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187331508).
123042420 is an abundant number, since it is smaller than the sum of its proper divisors (251620596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123042420 is a wasteful number, since it uses less digits than its factorization.
123042420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2641 (or 2636 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 123042420 is about 11092.4487828432. The cubic root of 123042420 is about 497.3761482226.
Adding to 123042420 its reverse (24240321), we get a palindrome (147282741).
The spelling of 123042420 in words is "one hundred twenty-three million, forty-two thousand, four hundred twenty".
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