Base | Representation |
---|---|
bin | 101110001111… |
… | …101010100000 |
3 | 211210220100000 |
4 | 232033222200 |
5 | 11100412114 |
6 | 1111500000 |
7 | 205020252 |
oct | 56175240 |
9 | 24726300 |
10 | 12122784 |
11 | 6930033 |
12 | 4087600 |
13 | 2685b5b |
14 | 1877cd2 |
15 | 10e6e09 |
hex | b8faa0 |
12122784 has 72 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 4038336.
The previous prime is 12122723. The next prime is 12122807. The reversal of 12122784 is 48722121.
12122784 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 (72).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6997 + ... + 8555.
It is an arithmetic number, because the mean of its divisors is an integer number (496860).
Almost surely, 212122784 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12122784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).
12122784 is an abundant number, since it is smaller than the sum of its proper divisors (23651136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12122784 is an equidigital number, since it uses as much as digits as its factorization.
12122784 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1584 (or 1564 counting only the distinct ones).
The product of its digits is 1792, while the sum is 27.
The square root of 12122784 is about 3481.7788557001. The cubic root of 12122784 is about 229.7210480777.
The spelling of 12122784 in words is "twelve million, one hundred twenty-two thousand, seven hundred eighty-four".
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