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12234334313412 = 22322314775766079
BaseRepresentation
bin1011001000001000011100…
…1001101001101111000100
31121022120221210102121220100
42302002013021221233010
53100421404041012122
642004213043404100
72401621131553431
oct262020711515704
947276853377810
1012234334313412
113997608853932
121457119983630
136a9901048733
14304205a04b88
1516339a77eaac
hexb2087269bc4

12234334313412 has 36 divisors (see below), whose sum is σ = 32270273118720. Its totient is φ = 3900802244592.

The previous prime is 12234334313393. The next prime is 12234334313419. The reversal of 12234334313412 is 21431343343221.

12234334313412 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 334 + 313 + 4 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (12234334313419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7387882212 + ... + 7387883867.

It is an arithmetic number, because the mean of its divisors is an integer number (896396475520).

Almost surely, 212234334313412 is an apocalyptic number.

12234334313412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12234334313412 is an abundant number, since it is smaller than the sum of its proper divisors (20035938805308).

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

12234334313412 is a wasteful number, since it uses less digits than its factorization.

12234334313412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14775766112 (or 14775766107 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 12234334313412 its reverse (21431343343221), we get a palindrome (33665677656633).

The spelling of 12234334313412 in words is "twelve trillion, two hundred thirty-four billion, three hundred thirty-four million, three hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 14775766079 29551532158 44327298237 59103064316 88654596474 132981894711 177309192948 265963789422 339842619817 531927578844 679685239634 1019527859451 1359370479268 2039055718902 3058583578353 4078111437804 6117167156706 12234334313412