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12180168 = 2332711133
BaseRepresentation
bin101110011101…
…101011001000
3211220211001100
4232131223020
511104231133
61113021400
7205346460
oct56355310
924824040
1012180168
11696a160
1240b4860
1326a6000
141890ba0
151108e13
hexb9dac8

12180168 has 192 divisors, whose sum is σ = 44553600. Its totient is φ = 2920320.

The previous prime is 12180151. The next prime is 12180169. The reversal of 12180168 is 86108121.

It is not an unprimeable number, because it can be changed into a prime (12180169) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 936930 + ... + 936942.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 212180168 is an apocalyptic number.

12180168 is a gapful number since it is divisible by the number (18) 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 12180168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

12180168 is an abundant number, since it is smaller than the sum of its proper divisors (32373432).

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

12180168 is a wasteful number, since it uses less digits than its factorization.

12180168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12180168 is about 3490.0097421067. The cubic root of 12180168 is about 230.0829442495.

Adding to 12180168 its reverse (86108121), we get a palindrome (98288289).

The spelling of 12180168 in words is "twelve million, one hundred eighty thousand, one hundred sixty-eight".