| Base | Representation |
|---|---|
| bin | 100100011110110… |
| … | …0111111111001000 |
| 3 | 10011022101102220000 |
| 4 | 1020331213333020 |
| 5 | 10001333122440 |
| 6 | 321245003000 |
| 7 | 42222540555 |
| oct | 11075477710 |
| 9 | 3138342800 |
| 10 | 1224114120 |
| 11 | 578a87069 |
| 12 | 2a1b53460 |
| 13 | 1667b83a8 |
| 14 | b8809a2c |
| 15 | 72700730 |
| hex | 48f67fc8 |
1224114120 has 160 divisors (see below), whose sum is σ = 4176532800. Its totient is φ = 321501312.
The previous prime is 1224114113. The next prime is 1224114127. The reversal of 1224114120 is 214114221.
1224114120 is a `hidden beast` number, since 12 + 241 + 1 + 412 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1224114113) and next prime (1224114127).
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 = 1224114093 and 1224114102.
It is not an unprimeable number, because it can be changed into a prime (1224114127) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 214261 + ... + 219899.
It is an arithmetic number, because the mean of its divisors is an integer number (26103330).
Almost surely, 21224114120 is an apocalyptic number.
1224114120 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 1224114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088266400).
1224114120 is an abundant number, since it is smaller than the sum of its proper divisors (2952418680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1224114120 is a wasteful number, since it uses less digits than its factorization.
1224114120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5729 (or 5716 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 1224114120 is about 34987.3422826027. The cubic root of 1224114120 is about 1069.7294916962.
Adding to 1224114120 its reverse (214114221), we get a palindrome (1438228341).
The spelling of 1224114120 in words is "one billion, two hundred twenty-four million, one hundred fourteen thousand, one hundred twenty".
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