| Base | Representation |
|---|---|
| bin | 111111010011011… |
| … | …1000000101100100 |
| 3 | 12111000220111102200 |
| 4 | 1332212320011210 |
| 5 | 13322233323140 |
| 6 | 550435134500 |
| 7 | 103431503622 |
| oct | 17646700544 |
| 9 | 5430814380 |
| 10 | 2124120420 |
| 11 | 9a0013124 |
| 12 | 4b3444430 |
| 13 | 27b0b48b6 |
| 14 | 162168512 |
| 15 | c672e030 |
| hex | 7e9b8164 |
2124120420 has 288 divisors, whose sum is σ = 7130174688. Its totient is φ = 509607936.
The previous prime is 2124120343. The next prime is 2124120431. The reversal of 2124120420 is 240214212.
2124120420 is a `hidden beast` number, since 2 + 1 + 241 + 2 + 0 + 420 = 666.
It can be written as a sum of positive squares in 16 ways, for example, as 157552704 + 1966567716 = 12552^2 + 44346^2 .
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 = 2124120393 and 2124120402.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8264932 + ... + 8265188.
It is an arithmetic number, because the mean of its divisors is an integer number (24757551).
Almost surely, 22124120420 is an apocalyptic number.
2124120420 is a gapful number since it is divisible by the number (20) 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 2124120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565087344).
2124120420 is an abundant number, since it is smaller than the sum of its proper divisors (5006054268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2124120420 is a wasteful number, since it uses less digits than its factorization.
2124120420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 399 (or 394 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 2124120420 is about 46088.1809144167. The cubic root of 2124120420 is about 1285.4633867032.
Adding to 2124120420 its reverse (240214212), we get a palindrome (2364334632).
The spelling of 2124120420 in words is "two billion, one hundred twenty-four million, one hundred twenty thousand, four hundred twenty".
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