Base | Representation |
---|---|
bin | 101110111011… |
… | …001101000000 |
3 | 212010221222001 |
4 | 232323031000 |
5 | 11122113440 |
6 | 1115353344 |
7 | 206362216 |
oct | 56731500 |
9 | 25127861 |
10 | 12301120 |
11 | 6a42017 |
12 | 4152854 |
13 | 2719090 |
14 | 18c2cb6 |
15 | 112eb9a |
hex | bbb340 |
12301120 has 56 divisors (see below), whose sum is σ = 31555944. Its totient is φ = 4540416.
The previous prime is 12301117. The next prime is 12301123. The reversal of 12301120 is 2110321.
12301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12301117) and next prime (12301123).
It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 12278016 = 152^2 + 3504^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 12301097 and 12301106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12301123) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2682 + ... + 5638.
It is an arithmetic number, because the mean of its divisors is an integer number (563499).
Almost surely, 212301120 is an apocalyptic number.
12301120 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 12301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777972).
12301120 is an abundant number, since it is smaller than the sum of its proper divisors (19254824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12301120 is a wasteful number, since it uses less digits than its factorization.
12301120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2987 (or 2977 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 12301120 is about 3507.2952541809. The cubic root of 12301120 is about 230.8420301374.
Adding to 12301120 its reverse (2110321), we get a palindrome (14411441).
It can be divided in two parts, 12301 and 120, that added together give a palindrome (12421).
The spelling of 12301120 in words is "twelve million, three hundred one thousand, one hundred twenty".
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