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12000168 = 2332166669
BaseRepresentation
bin101101110001…
…101110101000
3211120200010200
4231301232220
511033001133
61105112200
7203666625
oct55615650
924520120
1012000168
1168569a4
124028660
1326420bb
14184534c
1510c0913
hexb71ba8

12000168 has 24 divisors (see below), whose sum is σ = 32500650. Its totient is φ = 4000032.

The previous prime is 12000133. The next prime is 12000239. The reversal of 12000168 is 86100021.

It can be written as a sum of positive squares in only one way, i.e., 9622404 + 2377764 = 3102^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12000168.

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 5 ways as a sum of consecutive naturals, for example, 83263 + ... + 83406.

Almost surely, 212000168 is an apocalyptic number.

12000168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12000168 is an abundant number, since it is smaller than the sum of its proper divisors (20500482).

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

12000168 is a wasteful number, since it uses less digits than its factorization.

12000168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166681 (or 166674 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12000168 is about 3464.1258637642. The cubic root of 12000168 is about 228.9439169056.

Adding to 12000168 its reverse (86100021), we get a palindrome (98100189).

The spelling of 12000168 in words is "twelve million, one hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 166669 333338 500007 666676 1000014 1333352 1500021 2000028 3000042 4000056 6000084 12000168