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12005216 = 25375163
BaseRepresentation
bin101101110010…
…111101100000
3211120221001122
4231302331200
511033131331
61105151412
7204020426
oct55627540
924527048
1012005216
11685a773
12402b568
1326444a2
141847116
1510c217b
hexb72f60

12005216 has 12 divisors (see below), whose sum is σ = 23635332. Its totient is φ = 6002592.

The previous prime is 12005171. The next prime is 12005219. The reversal of 12005216 is 61250021.

It is a super-2 number, since 2×120052162 = 288250422413312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12005194 and 12005203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005219) 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 as a sum of consecutive naturals, namely, 187550 + ... + 187613.

It is an arithmetic number, because the mean of its divisors is an integer number (1969611).

Almost surely, 212005216 is an apocalyptic number.

12005216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12005216 is a deficient number, since it is larger than the sum of its proper divisors (11630116).

12005216 is an equidigital number, since it uses as much as digits as its factorization.

12005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375173 (or 375165 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 12005216 is about 3464.8543980953. The cubic root of 12005216 is about 228.9760149806.

Adding to 12005216 its reverse (61250021), we get a palindrome (73255237).

It can be divided in two parts, 12005 and 216, that added together give a palindrome (12221).

The spelling of 12005216 in words is "twelve million, five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 375163 750326 1500652 3001304 6002608 12005216