Base | Representation |
---|---|
bin | 101110001100… |
… | …100100101000 |
3 | 211210020221222 |
4 | 232030210220 |
5 | 11100010440 |
6 | 1111321212 |
7 | 204635321 |
oct | 56144450 |
9 | 24706858 |
10 | 12110120 |
11 | 6921570 |
12 | 4080208 |
13 | 2680169 |
14 | 1873448 |
15 | 10e32b5 |
hex | b8c928 |
12110120 has 64 divisors (see below), whose sum is σ = 31492800. Its totient is φ = 4142080.
The previous prime is 12110113. The next prime is 12110123. The reversal of 12110120 is 2101121.
12110120 = 8362 + 8372 + ... + 8522.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a junction number, because it is equal to n+sod(n) for n = 12110098 and 12110107.
It is not an unprimeable number, because it can be changed into a prime (12110123) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6671 + ... + 8289.
It is an arithmetic number, because the mean of its divisors is an integer number (492075).
Almost surely, 212110120 is an apocalyptic number.
12110120 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 12110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746400).
12110120 is an abundant number, since it is smaller than the sum of its proper divisors (19382680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12110120 is a wasteful number, since it uses less digits than its factorization.
12110120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1658 (or 1654 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
The square root of 12110120 is about 3479.9597698824. The cubic root of 12110120 is about 229.6410279282.
Adding to 12110120 its reverse (2101121), we get a palindrome (14211241).
It can be divided in two parts, 121101 and 20, that added together give a palindrome (121121).
The spelling of 12110120 in words is "twelve million, one hundred ten thousand, one hundred twenty".
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