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12006192 = 2431122739
BaseRepresentation
bin101101110011…
…001100110000
3211120222101210
4231303030300
511033144232
61105200120
7204023322
oct55631460
924528353
1012006192
116860480
124030040
132644a73
141847612
1510c25cc
hexb73330

12006192 has 40 divisors (see below), whose sum is σ = 33837120. Its totient is φ = 3638080.

The previous prime is 12006187. The next prime is 12006193. The reversal of 12006192 is 29160021.

12006192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12006193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10842 + ... + 11897.

It is an arithmetic number, because the mean of its divisors is an integer number (845928).

Almost surely, 212006192 is an apocalyptic number.

12006192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12006192 is an abundant number, since it is smaller than the sum of its proper divisors (21830928).

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

12006192 is a wasteful number, since it uses less digits than its factorization.

12006192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22761 (or 22755 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12006192 is about 3464.9952380920. The cubic root of 12006192 is about 228.9822199095.

The spelling of 12006192 in words is "twelve million, six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 22739 45478 68217 90956 136434 181912 250129 272868 363824 500258 545736 750387 1000516 1091472 1500774 2001032 3001548 4002064 6003096 12006192