| Base | Representation |
|---|---|
| bin | 101110010010… |
| … | …110110100000 |
| 3 | 211211120020120 |
| 4 | 232102312200 |
| 5 | 11101321330 |
| 6 | 1112040240 |
| 7 | 205103313 |
| oct | 56226640 |
| 9 | 24746216 |
| 10 | 12135840 |
| 11 | 6939922 |
| 12 | 4093080 |
| 13 | 268ba92 |
| 14 | 187c97a |
| 15 | 10eac10 |
| hex | b92da0 |
12135840 has 96 divisors (see below), whose sum is σ = 38719296. Its totient is φ = 3194880.
The previous prime is 12135821. The next prime is 12135853. The reversal of 12135840 is 4853121.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×121358402 = 294557225011200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 12135840.
It is an unprimeable number.
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, 62784 + ... + 62976.
It is an arithmetic number, because the mean of its divisors is an integer number (403326).
Almost surely, 212135840 is an apocalyptic number.
12135840 is a gapful number since it is divisible by the number (10) 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 12135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19359648).
12135840 is an abundant number, since it is smaller than the sum of its proper divisors (26583456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12135840 is a wasteful number, since it uses less digits than its factorization.
12135840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 342 (or 334 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 24.
The square root of 12135840 is about 3483.6532548461. The cubic root of 12135840 is about 229.8034868404.
Adding to 12135840 its reverse (4853121), we get a palindrome (16988961).
The spelling of 12135840 in words is "twelve million, one hundred thirty-five thousand, eight hundred forty".
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