Search a number
-
+
12123214144 = 263156910739
BaseRepresentation
bin10110100101001100…
…11001000101000000
31011021212222002101021
423102212121011000
5144312020323034
65322550315224
7606265422436
oct132246310500
934255862337
1012123214144
115161269248
122424058b14
1311b28456c2
14830132d56
154ae4ad6b4
hex2d2999140

12123214144 has 56 divisors (see below), whose sum is σ = 24878995200. Its totient is φ = 5855216640.

The previous prime is 12123214139. The next prime is 12123214163. The reversal of 12123214144 is 44141232121.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1123527 + ... + 1134265.

Almost surely, 212123214144 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 12123214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439497600).

12123214144 is an abundant number, since it is smaller than the sum of its proper divisors (12755781056).

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

12123214144 is a wasteful number, since it uses less digits than its factorization.

12123214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11351 (or 11341 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

Adding to 12123214144 its reverse (44141232121), we get a palindrome (56264446265).

The spelling of 12123214144 in words is "twelve billion, one hundred twenty-three million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 569 992 1138 1984 2276 4552 9104 10739 17639 18208 21478 35278 36416 42956 70556 85912 141112 171824 282224 332909 343648 564448 665818 687296 1128896 1331636 2663272 5326544 6110491 10653088 12220982 21306176 24441964 48883928 97767856 189425221 195535712 378850442 391071424 757700884 1515401768 3030803536 6061607072 12123214144