| Base | Representation |
|---|---|
| bin | 101111101111… |
| … | …000000100000 |
| 3 | 212112202001000 |
| 4 | 233233000200 |
| 5 | 11200411222 |
| 6 | 1124112000 |
| 7 | 211234650 |
| oct | 57570040 |
| 9 | 25482030 |
| 10 | 12513312 |
| 11 | 7077489 |
| 12 | 4235600 |
| 13 | 2791836 |
| 14 | 193a360 |
| 15 | 11729ac |
| hex | bef020 |
12513312 has 96 divisors (see below), whose sum is σ = 41731200. Its totient is φ = 3573504.
The previous prime is 12513307. The next prime is 12513317. The reversal of 12513312 is 21331521.
It is an interprime number because it is at equal distance from previous prime (12513307) and next prime (12513317).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12513317) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5014 + ... + 7082.
It is an arithmetic number, because the mean of its divisors is an integer number (434700).
Almost surely, 212513312 is an apocalyptic number.
12513312 is a gapful number since it is divisible by the number (12) 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 12513312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865600).
12513312 is an abundant number, since it is smaller than the sum of its proper divisors (29217888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12513312 is a wasteful number, since it uses less digits than its factorization.
12513312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2095 (or 2081 counting only the distinct ones).
The product of its digits is 180, while the sum is 18.
The square root of 12513312 is about 3537.4160060700. The cubic root of 12513312 is about 232.1617975597.
Adding to 12513312 its reverse (21331521), we get a palindrome (33844833).
The spelling of 12513312 in words is "twelve million, five hundred thirteen thousand, three hundred twelve".
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