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12006144113341 = 7171673311825207
BaseRepresentation
bin1010111010110110010111…
…1101000111101010111101
31120111202221211022101210211
42232231211331013222331
53033202040343111331
641311314011432421
72346262305062260
oct256554575075275
946452854271724
1012006144113341
113909860397124
12141aa55455711
136912365a6001
142d71599c2cd7
1515c4925238b1
hexaeb65f47abd

12006144113341 has 32 divisors (see below), whose sum is σ = 14659603402752. Its totient is φ = 9598539329280.

The previous prime is 12006144113329. The next prime is 12006144113347. The reversal of 12006144113341 is 14331144160021.

It is a cyclic number.

It is not a de Polignac number, because 12006144113341 - 217 = 12006143982269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006144113347) 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, 5665360 + ... + 7490566.

It is an arithmetic number, because the mean of its divisors is an integer number (458112606336).

Almost surely, 212006144113341 is an apocalyptic number.

It is an amenable number.

12006144113341 is a deficient number, since it is larger than the sum of its proper divisors (2653459289411).

12006144113341 is a wasteful number, since it uses less digits than its factorization.

12006144113341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825729.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 12006144113341 its reverse (14331144160021), we get a palindrome (26337288273362).

The spelling of 12006144113341 in words is "twelve trillion, six billion, one hundred forty-four million, one hundred thirteen thousand, three hundred forty-one".

Divisors: 1 7 17 119 167 331 1169 2317 2839 5627 19873 39389 55277 386939 939709 1825207 6577963 12776449 31028519 217199633 304809569 604143517 2133666983 4229004619 5181762673 10270439789 36272338711 71893078523 100891967339 706243771373 1715163444763 12006144113341