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12000112 = 242332609
BaseRepresentation
bin101101110001…
…101101110000
3211120200001121
4231301231300
511033000422
61105112024
7203666515
oct55615560
924520047
1012000112
116856953
124028614
132642077
14184530c
1510c08c7
hexb71b70

12000112 has 20 divisors (see below), whose sum is σ = 24261840. Its totient is φ = 5739008.

The previous prime is 12000097. The next prime is 12000127. The reversal of 12000112 is 21100021.

It is an interprime number because it is at equal distance from previous prime (12000097) and next prime (12000127).

It is a junction number, because it is equal to n+sod(n) for n = 12000095 and 12000104.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 15937 + ... + 16672.

It is an arithmetic number, because the mean of its divisors is an integer number (1213092).

Almost surely, 212000112 is an apocalyptic number.

It is an amenable number.

12000112 is an abundant number, since it is smaller than the sum of its proper divisors (12261728).

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

12000112 is a wasteful number, since it uses less digits than its factorization.

12000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32640 (or 32634 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 12000112 is about 3464.1177809076. The cubic root of 12000112 is about 228.9435607751.

Adding to 12000112 its reverse (21100021), we get a palindrome (33100133).

Subtracting 12000112 from its reverse (21100021), we obtain a palindrome (9099909).

The spelling of 12000112 in words is "twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 46 92 184 368 32609 65218 130436 260872 521744 750007 1500014 3000028 6000056 12000112