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12005321355 = 32510715715881
BaseRepresentation
bin10110010111001001…
…01010101010001011
31010222200010111212200
423023210222222023
5144041330240410
65303135411243
7603334355616
oct131344525213
933880114780
1012005321355
115100766695
1223b0683b23
1311942a8961
1481c60517d
154a3e723c0
hex2cb92aa8b

12005321355 has 48 divisors (see below), whose sum is σ = 21138814944. Its totient is φ = 6302200320.

The previous prime is 12005321353. The next prime is 12005321369. The reversal of 12005321355 is 55312350021.

It is a happy number.

12005321355 is a `hidden beast` number, since 120 + 0 + 532 + 1 + 3 + 5 + 5 = 666.

12005321355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12005321355 - 21 = 12005321353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12005321353) 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 47 ways as a sum of consecutive naturals, for example, 748015 + ... + 763895.

It is an arithmetic number, because the mean of its divisors is an integer number (440391978).

Almost surely, 212005321355 is an apocalyptic number.

12005321355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12005321355 is a deficient number, since it is larger than the sum of its proper divisors (9133493589).

12005321355 is a wasteful number, since it uses less digits than its factorization.

12005321355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16156 (or 16153 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 12005321355 its reverse (55312350021), we get a palindrome (67317671376).

The spelling of 12005321355 in words is "twelve billion, five million, three hundred twenty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 45 107 157 321 471 535 785 963 1413 1605 2355 4815 7065 15881 16799 47643 50397 79405 83995 142929 151191 238215 251985 714645 755955 1699267 2493317 5097801 7479951 8496335 12466585 15293403 22439853 25489005 37399755 76467015 112199265 266784919 800354757 1333924595 2401064271 4001773785 12005321355