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12252168 = 2333131433
BaseRepresentation
bin101110101111…
…010000001000
3212001110211000
4232233100020
511114032133
61114335000
7206066415
oct56572010
925043730
1012252168
116a09265
12412a460
1326cca06
1418ad10c
151120413
hexbaf408

12252168 has 64 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 4043520.

The previous prime is 12252151. The next prime is 12252179. The reversal of 12252168 is 86125221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 28080 + ... + 28512.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 212252168 is an apocalyptic number.

12252168 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 12252168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

12252168 is an abundant number, since it is smaller than the sum of its proper divisors (22120632).

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

12252168 is a wasteful number, since it uses less digits than its factorization.

12252168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 12252168 is about 3500.3097005836. The cubic root of 12252168 is about 230.5354130196.

Adding to 12252168 its reverse (86125221), we get a palindrome (98377389).

The spelling of 12252168 in words is "twelve million, two hundred fifty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 433 524 786 866 1048 1179 1299 1572 1732 2358 2598 3144 3464 3537 3897 4716 5196 7074 7794 9432 10392 11691 14148 15588 23382 28296 31176 46764 56723 93528 113446 170169 226892 340338 453784 510507 680676 1021014 1361352 1531521 2042028 3063042 4084056 6126084 12252168