Base | Representation |
---|---|
bin | 101101110001… |
… | …111111000000 |
3 | 211120201120111 |
4 | 231301333000 |
5 | 11033014331 |
6 | 1105121104 |
7 | 204002653 |
oct | 55617700 |
9 | 24521514 |
10 | 12001216 |
11 | 6857767 |
12 | 4029194 |
13 | 2642716 |
14 | 184589a |
15 | 10c0db1 |
hex | b71fc0 |
12001216 has 56 divisors (see below), whose sum is σ = 25749504. Its totient is φ = 5533440.
The previous prime is 12001211. The next prime is 12001261. The reversal of 12001216 is 61210021.
It is a junction number, because it is equal to n+sod(n) for n = 12001196 and 12001205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12001211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45501 + ... + 45763.
Almost surely, 212001216 is an apocalyptic number.
12001216 is a gapful number since it is divisible by the number (16) 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 12001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874752).
12001216 is an abundant number, since it is smaller than the sum of its proper divisors (13748288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12001216 is a wasteful number, since it uses less digits than its factorization.
12001216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 329 (or 319 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
The square root of 12001216 is about 3464.2771251734. The cubic root of 12001216 is about 228.9505814301.
Adding to 12001216 its reverse (61210021), we get a palindrome (73211237).
The spelling of 12001216 in words is "twelve million, one thousand, two hundred sixteen".
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