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12004124323141 = 317304912419777
BaseRepresentation
bin1010111010101110110110…
…0100001110110101000101
31120111120202001201102112101
42232223231210032311011
53033133421311320031
641310341340352101
72346161251124146
oct256535544166505
946446661642471
1012004124323141
113908a14262925
12141a590b45631
13690ca3cbcb92
142d7007655acd
1515c3c5052361
hexaeaed90ed45

12004124323141 has 8 divisors (see below), whose sum is σ = 12045942682200. Its totient is φ = 11962330810368.

The previous prime is 12004124323127. The next prime is 12004124323153. The reversal of 12004124323141 is 14132342140021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76225688100 + 11927898635041 = 276090^2 + 3453679^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12004124323141 - 25 = 12004124323109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004124363141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5243356 + ... + 7176421.

It is an arithmetic number, because the mean of its divisors is an integer number (1505742835275).

Almost surely, 212004124323141 is an apocalyptic number.

It is an amenable number.

12004124323141 is a deficient number, since it is larger than the sum of its proper divisors (41818359059).

12004124323141 is a wasteful number, since it uses less digits than its factorization.

12004124323141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12423143.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12004124323141 its reverse (14132342140021), we get a palindrome (26136466463162).

The spelling of 12004124323141 in words is "twelve trillion, four billion, one hundred twenty-four million, three hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 317 3049 966533 12419777 3937069309 37867900073 12004124323141