| Base | Representation |
|---|---|
| bin | 110000011000… |
| … | …000000000000 |
| 3 | 212212021100200 |
| 4 | 300120000000 |
| 5 | 11221244331 |
| 6 | 1131445200 |
| 7 | 212534322 |
| oct | 60300000 |
| 9 | 25767320 |
| 10 | 12681216 |
| 11 | 7181649 |
| 12 | 42b6800 |
| 13 | 28200a2 |
| 14 | 1981612 |
| 15 | 11a75e6 |
| hex | c18000 |
12681216 has 96 divisors (see below), whose sum is σ = 37486020. Its totient is φ = 4128768.
The previous prime is 12681209. The next prime is 12681217. The reversal of 12681216 is 61218621.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (1152) is a multiple of the sum of its prime divisors (48).
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 12681216.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12681217) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294891 + ... + 294933.
Almost surely, 212681216 is an apocalyptic number.
12681216 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 12681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743010).
12681216 is an abundant number, since it is smaller than the sum of its proper divisors (24804804).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12681216 is an frugal number, since it uses more digits than its factorization.
12681216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79 (or 48 counting only the distinct ones).
The product of its digits is 1152, while the sum is 27.
The square root of 12681216 is about 3561.0695022704. The cubic root of 12681216 is about 233.1955721959.
Adding to 12681216 its reverse (61218621), we get a palindrome (73899837).
The spelling of 12681216 in words is "twelve million, six hundred eighty-one thousand, two hundred sixteen".
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