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12127014 = 23231103211
BaseRepresentation
bin101110010000…
…101100100110
3211211010010200
4232100230212
511101031024
61111531330
7205035504
oct56205446
924733120
1012127014
116933229
124089b46
132687a63
141879674
1510e82c9
hexb90b26

12127014 has 48 divisors (see below), whose sum is σ = 27515904. Its totient is φ = 3855600.

The previous prime is 12127007. The next prime is 12127019. The reversal of 12127014 is 41072121.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127019) 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 23 ways as a sum of consecutive naturals, for example, 57369 + ... + 57579.

It is an arithmetic number, because the mean of its divisors is an integer number (573248).

Almost surely, 212127014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757952).

12127014 is an abundant number, since it is smaller than the sum of its proper divisors (15388890).

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

12127014 is a wasteful number, since it uses less digits than its factorization.

12127014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12127014 is about 3482.3862508343. The cubic root of 12127014 is about 229.7477638066.

Adding to 12127014 its reverse (41072121), we get a palindrome (53199135).

The spelling of 12127014 in words is "twelve million, one hundred twenty-seven thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 211 279 309 422 558 618 633 927 1266 1854 1899 3193 3798 6386 6541 9579 13082 19158 19623 21733 28737 39246 43466 57474 58869 65199 117738 130398 195597 391194 673723 1347446 2021169 4042338 6063507 12127014