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12001351024341 = 3473431967427
BaseRepresentation
bin1010111010100100100001…
…0000111011111011010101
31120111022120210021020210000
42232221020100323323111
53033112231330234331
641305202231121513
72346032444355000
oct256511020737325
946438523236700
1012001351024341
113907820862448
121419b38213299
13690951581283
142d6c231c2537
1515c2b183e0e6
hexaea4843bed5

12001351024341 has 40 divisors (see below), whose sum is σ = 20907223515200. Its totient is φ = 6857914855176.

The previous prime is 12001351024307. The next prime is 12001351024343. The reversal of 12001351024341 is 14342015310021.

12001351024341 is a `hidden beast` number, since 1 + 200 + 13 + 5 + 10 + 2 + 434 + 1 = 666.

It is not a de Polignac number, because 12001351024341 - 26 = 12001351024277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001351024343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215955931 + ... + 216011496.

It is an arithmetic number, because the mean of its divisors is an integer number (522680587880).

Almost surely, 212001351024341 is an apocalyptic number.

It is an amenable number.

12001351024341 is a deficient number, since it is larger than the sum of its proper divisors (8905872490859).

12001351024341 is an frugal number, since it uses more digits than its factorization.

12001351024341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431967460 (or 431967437 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12001351024341 its reverse (14342015310021), we get a palindrome (26343366334362).

The spelling of 12001351024341 in words is "twelve trillion, one billion, three hundred fifty-one million, twenty-four thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 3087 3969 9261 27783 431967427 1295902281 3023771989 3887706843 9071315967 11663120529 21166403923 27213947901 34989361587 63499211769 81641843703 148164827461 190497635307 244925531109 444494482383 571492905921 1333483447149 1714478717763 4000450341447 12001351024341