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12342242412 = 22323128339079
BaseRepresentation
bin10110111111010011…
…11010110001101100
31011212011002212200100
423133221322301230
5200234103224122
65400413031100
7614565221013
oct133751726154
934764085610
1012342242412
115263968445
122485485490
131219032a26
14851269a7a
154c3825aac
hex2dfa7ac6c

12342242412 has 72 divisors (see below), whose sum is σ = 32319472640. Its totient is φ = 3967198560.

The previous prime is 12342242401. The next prime is 12342242453. The reversal of 12342242412 is 21424224321.

It is a happy number.

12342242412 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 2 + 242 + 412 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296289 + ... + 335367.

Almost surely, 212342242412 is an apocalyptic number.

12342242412 is a gapful number since it is divisible by the number (12) 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 12342242412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16159736320).

12342242412 is an abundant number, since it is smaller than the sum of its proper divisors (19977230228).

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

12342242412 is a wasteful number, since it uses less digits than its factorization.

12342242412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39403 (or 39398 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12342242412 its reverse (21424224321), we get a palindrome (33766466733).

The spelling of 12342242412 in words is "twelve billion, three hundred forty-two million, two hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 283 372 558 566 849 1116 1132 1698 2547 3396 5094 8773 10188 17546 26319 35092 39079 52638 78158 78957 105276 117237 156316 157914 234474 315828 351711 468948 703422 1211449 1406844 2422898 3634347 4845796 7268694 10903041 11059357 14537388 21806082 22118714 33178071 43612164 44237428 66356142 99534213 132712284 199068426 342840067 398136852 685680134 1028520201 1371360268 2057040402 3085560603 4114080804 6171121206 12342242412