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12004223434 = 2723318314489
BaseRepresentation
bin10110010111000000…
…11110100111001010
31010222121001201210221
423023200132213022
5144041040122214
65303100100254
7603322133650
oct131340364712
933877051727
1012004223434
115100086815
1223b023468a
131193cb2cb8
1481c3dadd0
154a3d06e24
hex2cb81e9ca

12004223434 has 64 divisors (see below), whose sum is σ = 22434693120. Its totient is φ = 4704543360.

The previous prime is 12004223419. The next prime is 12004223437. The reversal of 12004223434 is 43432240021.

It is a happy number.

12004223434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12004223399 and 12004223408.

It is not an unprimeable number, because it can be changed into a prime (12004223437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821262 + ... + 835750.

It is an arithmetic number, because the mean of its divisors is an integer number (350542080).

Almost surely, 212004223434 is an apocalyptic number.

12004223434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12004223434 is a deficient number, since it is larger than the sum of its proper divisors (10430469686).

12004223434 is a wasteful number, since it uses less digits than its factorization.

12004223434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14635.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12004223434 its reverse (43432240021), we get a palindrome (55436463455).

The spelling of 12004223434 in words is "twelve billion, four million, two hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 7 14 23 31 46 62 83 161 166 217 322 434 581 713 1162 1426 1909 2573 3818 4991 5146 9982 13363 14489 18011 26726 28978 36022 59179 101423 118358 202846 333247 414253 449159 666494 828506 898318 1202587 2332729 2405174 3144113 4665458 6288226 8418109 10330657 16836218 20661314 27659501 37280197 55319002 72314599 74560394 144629198 193616507 260961379 387233014 521922758 857444531 1714889062 6002111717 12004223434