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12141241242 = 2313237985667
BaseRepresentation
bin10110100111010110…
…01010001110011010
31011100010212221220120
423103223022032122
5144331124204432
65324432534110
7606604563534
oct132353121632
934303787816
1012141241242
115170461279
12242a0b1336
1311b64b7b20
148326a6854
154b0d6ec2c
hex2d3aca39a

12141241242 has 64 divisors (see below), whose sum is σ = 27633070080. Its totient is φ = 3528068544.

The previous prime is 12141241241. The next prime is 12141241247. The reversal of 12141241242 is 24214214121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12141241241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98893 + ... + 184559.

It is an arithmetic number, because the mean of its divisors is an integer number (431766720).

Almost surely, 212141241242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141241242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816535040).

12141241242 is an abundant number, since it is smaller than the sum of its proper divisors (15491828838).

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

12141241242 is a wasteful number, since it uses less digits than its factorization.

12141241242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85787.

The product of its digits is 1024, while the sum is 24.

Adding to 12141241242 its reverse (24214214121), we get a palindrome (36355455363).

The spelling of 12141241242 in words is "twelve billion, one hundred forty-one million, two hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 79 138 158 237 299 474 598 897 1027 1794 1817 2054 3081 3634 5451 6162 10902 23621 47242 70863 85667 141726 171334 257001 514002 1113671 1970341 2227342 3341013 3940682 5911023 6682026 6767693 11822046 13535386 20303079 25614433 40606158 51228866 76843299 87980009 153686598 155656939 175960018 263940027 311313878 466970817 527880054 933941634 2023540207 4047080414 6070620621 12141241242