Base | Representation |
---|---|
bin | 101110001111… |
… | …000000000000 |
3 | 211210202121021 |
4 | 232033000000 |
5 | 11100320224 |
6 | 1111435224 |
7 | 205006315 |
oct | 56170000 |
9 | 24722537 |
10 | 12120064 |
11 | 6928a90 |
12 | 4085b14 |
13 | 2684848 |
14 | 1876d0c |
15 | 10e61e4 |
hex | b8f000 |
12120064 has 52 divisors (see below), whose sum is σ = 26538840. Its totient is φ = 5488640.
The previous prime is 12120061. The next prime is 12120067. The reversal of 12120064 is 46002121.
It is an interprime number because it is at equal distance from previous prime (12120061) and next prime (12120067).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12120061) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44922 + ... + 45190.
Almost surely, 212120064 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 12120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269420).
12120064 is an abundant number, since it is smaller than the sum of its proper divisors (14418776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12120064 is an equidigital number, since it uses as much as digits as its factorization.
12120064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 304 (or 282 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 12120064 is about 3481.3882288535. The cubic root of 12120064 is about 229.7038658862.
Adding to 12120064 its reverse (46002121), we get a palindrome (58122185).
The spelling of 12120064 in words is "twelve million, one hundred twenty thousand, sixty-four".
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