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12000312 = 23356173
BaseRepresentation
bin101101110001…
…110000111000
3211120200100000
4231301300320
511033002222
61105113000
7204000222
oct55616070
924520300
1012000312
116857015
124028760
13264219c
141845412
1510c09ac
hexb71c38

12000312 has 48 divisors (see below), whose sum is σ = 33710040. Its totient is φ = 3999456.

The previous prime is 12000281. The next prime is 12000353. The reversal of 12000312 is 21300021.

Adding to 12000312 its reverse (21300021), we get a palindrome (33300333).

It is a happy number.

12000312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000294 and 12000303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143 + ... + 5030.

Almost surely, 212000312 is an apocalyptic number.

12000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000312 is an abundant number, since it is smaller than the sum of its proper divisors (21709728).

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

12000312 is an equidigital number, since it uses as much as digits as its factorization.

12000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12000312 is about 3464.1466481660. The cubic root of 12000312 is about 228.9448326648.

The spelling of 12000312 in words is "twelve million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 6173 12346 18519 24692 37038 49384 55557 74076 111114 148152 166671 222228 333342 444456 500013 666684 1000026 1333368 1500039 2000052 3000078 4000104 6000156 12000312