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12012320 = 255193389
BaseRepresentation
bin101101110100…
…101100100000
3211121021210202
4231310230200
511033343240
61105244332
7204050225
oct55645440
924537722
1012012320
116865041
1240336a8
1326477a8
14184994c
1510c4315
hexb74b20

12012320 has 48 divisors (see below), whose sum is σ = 28599480. Its totient is φ = 4767744.

The previous prime is 12012289. The next prime is 12012331. The reversal of 12012320 is 2321021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6574096 + 5438224 = 2564^2 + 2332^2 .

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 7 ways as a sum of consecutive naturals, for example, 30686 + ... + 31074.

Almost surely, 212012320 is an apocalyptic number.

12012320 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 12012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299740).

12012320 is an abundant number, since it is smaller than the sum of its proper divisors (16587160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12012320 is a wasteful number, since it uses less digits than its factorization.

12012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12012320 is about 3465.8793977864. The cubic root of 12012320 is about 229.0211710434.

Adding to 12012320 its reverse (2321021), we get a palindrome (14333341).

The spelling of 12012320 in words is "twelve million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 389 772 778 965 1544 1556 1930 1945 3088 3112 3860 3890 6176 6224 7720 7780 12448 15440 15560 30880 31120 62240 75077 150154 300308 375385 600616 750770 1201232 1501540 2402464 3003080 6006160 12012320