Base | Representation |
---|---|
bin | 101110001111… |
… | …110110000000 |
3 | 211210221100021 |
4 | 232033312000 |
5 | 11100423040 |
6 | 1111503224 |
7 | 205022353 |
oct | 56176600 |
9 | 24727307 |
10 | 12123520 |
11 | 6930642 |
12 | 4087b14 |
13 | 26862a6 |
14 | 187829a |
15 | 10e724a |
hex | b8fd80 |
12123520 has 64 divisors (see below), whose sum is σ = 30538800. Its totient is φ = 4589568.
The previous prime is 12123493. The next prime is 12123521. The reversal of 12123520 is 2532121.
12123520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 12123494 and 12123503.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12123521) 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, 11662 + ... + 12658.
Almost surely, 212123520 is an apocalyptic number.
12123520 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 12123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269400).
12123520 is an abundant number, since it is smaller than the sum of its proper divisors (18415280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12123520 is an equidigital number, since it uses as much as digits as its factorization.
12123520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1035 (or 1023 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 16.
The square root of 12123520 is about 3481.8845471957. The cubic root of 12123520 is about 229.7256969347.
Adding to 12123520 its reverse (2532121), we get a palindrome (14655641).
The spelling of 12123520 in words is "twelve million, one hundred twenty-three thousand, five hundred twenty".
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