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12342143124 = 22331074672287
BaseRepresentation
bin10110111111010011…
…00010100010010100
31011212010220211111000
423133221202202110
5200234042034444
65400410543300
7614564325363
oct133751424224
934763824430
1012342143124
1152638aa893
122485437b30
131218cc978c
148512417da
154c3806469
hex2dfa62894

12342143124 has 96 divisors (see below), whose sum is σ = 32380508160. Its totient is φ = 4065093216.

The previous prime is 12342143113. The next prime is 12342143129. The reversal of 12342143124 is 42134124321.

12342143124 is a `hidden beast` number, since 1 + 2 + 342 + 1 + 4 + 312 + 4 = 666.

12342143124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342143129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5395509 + ... + 5397795.

It is an arithmetic number, because the mean of its divisors is an integer number (337296960).

Almost surely, 212342143124 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 12342143124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190254080).

12342143124 is an abundant number, since it is smaller than the sum of its proper divisors (20038365036).

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

12342143124 is a wasteful number, since it uses less digits than its factorization.

12342143124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2866 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12342143124 its reverse (42134124321), we get a palindrome (54476267445).

The spelling of 12342143124 in words is "twelve billion, three hundred forty-two million, one hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 467 642 934 963 1284 1401 1868 1926 2287 2802 2889 3852 4203 4574 5604 5778 6861 8406 9148 11556 12609 13722 16812 20583 25218 27444 41166 49969 50436 61749 82332 99938 123498 149907 199876 244709 246996 299814 449721 489418 599628 734127 899442 978836 1068029 1349163 1468254 1798884 2136058 2202381 2698326 2936508 3204087 4272116 4404762 5396652 6408174 6607143 8809524 9612261 12816348 13214286 19224522 26428572 28836783 38449044 57673566 114279103 115347132 228558206 342837309 457116412 685674618 1028511927 1371349236 2057023854 3085535781 4114047708 6171071562 12342143124