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12004131341301 = 3112231631217739
BaseRepresentation
bin1010111010101110110111…
…1111000000001111110101
31120111120202112220222122020
42232223231333000033311
53033133430110410201
641310342151023353
72346161364564231
oct256535577001765
946446675828566
1012004131341301
113908a18216760
12141a59336ab59
13690ca55a9438
142d70085615c1
1515c3c598ba36
hexaeaedfc03f5

12004131341301 has 16 divisors (see below), whose sum is σ = 17538853140480. Its totient is φ = 7242606756720.

The previous prime is 12004131341299. The next prime is 12004131341303. The reversal of 12004131341301 is 10314313140021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12004131341299) and next prime (12004131341303).

It is not a de Polignac number, because 12004131341301 - 21 = 12004131341299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004131341303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815601511 + ... + 815616228.

It is an arithmetic number, because the mean of its divisors is an integer number (1096178321280).

Almost surely, 212004131341301 is an apocalyptic number.

12004131341301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12004131341301 is a deficient number, since it is larger than the sum of its proper divisors (5534721799179).

12004131341301 is a wasteful number, since it uses less digits than its factorization.

12004131341301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631217976.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12004131341301 its reverse (10314313140021), we get a palindrome (22318444481322).

The spelling of 12004131341301 in words is "twelve trillion, four billion, one hundred thirty-one million, three hundred forty-one thousand, three hundred one".

Divisors: 1 3 11 33 223 669 2453 7359 1631217739 4893653217 17943395129 53830185387 363761555797 1091284667391 4001377113767 12004131341301