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12166120 = 235304153
BaseRepresentation
bin101110011010…
…001111101000
3211220002210001
4232122033220
511103303440
61112432344
7205260511
oct56321750
924802701
1012166120
11695a64a
1240a86b4
13269c7b5
141889a08
151104b9a
hexb9a3e8

12166120 has 16 divisors (see below), whose sum is σ = 27373860. Its totient is φ = 4866432.

The previous prime is 12166073. The next prime is 12166139. The reversal of 12166120 is 2166121.

It can be written as a sum of positive squares in 2 ways, for example, as 12152196 + 13924 = 3486^2 + 118^2 .

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, 152037 + ... + 152116.

Almost surely, 212166120 is an apocalyptic number.

12166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12166120 is an abundant number, since it is smaller than the sum of its proper divisors (15207740).

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

12166120 is a wasteful number, since it uses less digits than its factorization.

12166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304164 (or 304160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12166120 is about 3487.9965596313. The cubic root of 12166120 is about 229.9944548127.

Subtracting from 12166120 its reverse (2166121), we obtain a palindrome (9999999).

The spelling of 12166120 in words is "twelve million, one hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 304153 608306 1216612 1520765 2433224 3041530 6083060 12166120