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12012168 = 2337127563
BaseRepresentation
bin101101110100…
…101010001000
3211121021121010
4231310222020
511033342133
61105243520
7204046620
oct55645210
924537533
1012012168
116864a13
1240335a0
1326476bc
141849880
1510c4263
hexb74a88

12012168 has 64 divisors (see below), whose sum is σ = 34652160. Its totient is φ = 3398976.

The previous prime is 12012167. The next prime is 12012173. The reversal of 12012168 is 86121021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12012167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21055 + ... + 21617.

It is an arithmetic number, because the mean of its divisors is an integer number (541440).

Almost surely, 212012168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17326080).

12012168 is an abundant number, since it is smaller than the sum of its proper divisors (22639992).

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

12012168 is a wasteful number, since it uses less digits than its factorization.

12012168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 12012168 is about 3465.8574696603. The cubic root of 12012168 is about 229.0202050528.

Adding to 12012168 its reverse (86121021), we get a palindrome (98133189).

The spelling of 12012168 in words is "twelve million, twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 563 762 889 1016 1126 1524 1689 1778 2252 2667 3048 3378 3556 3941 4504 5334 6756 7112 7882 10668 11823 13512 15764 21336 23646 31528 47292 71501 94584 143002 214503 286004 429006 500507 572008 858012 1001014 1501521 1716024 2002028 3003042 4004056 6006084 12012168