| Base | Representation |
|---|---|
| bin | 101101110010… |
| … | …001111010000 |
| 3 | 211120210000000 |
| 4 | 231302033100 |
| 5 | 11033033011 |
| 6 | 1105130000 |
| 7 | 204006000 |
| oct | 55621720 |
| 9 | 24523000 |
| 10 | 12002256 |
| 11 | 6858522 |
| 12 | 4029900 |
| 13 | 2643036 |
| 14 | 1846000 |
| 15 | 10c1356 |
| hex | b723d0 |
12002256 has 160 divisors (see below), whose sum is σ = 40672000. Its totient is φ = 3429216.
The previous prime is 12002231. The next prime is 12002261. The reversal of 12002256 is 65220021.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
12002256 is nontrivially palindromic in base 5.
12002256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×120022563 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714605 + ... + 1714611.
It is an arithmetic number, because the mean of its divisors is an integer number (254200).
Almost surely, 212002256 is an apocalyptic number.
12002256 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 12002256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20336000).
12002256 is an abundant number, since it is smaller than the sum of its proper divisors (28669744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002256 is an frugal number, since it uses more digits than its factorization.
12002256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 50 (or 12 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 12002256 is about 3464.4272253866. The cubic root of 12002256 is about 228.9571946968.
Adding to 12002256 its reverse (65220021), we get a palindrome (77222277).
The spelling of 12002256 in words is "twelve million, two thousand, two hundred fifty-six".
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