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12141041211 = 3313192379153
BaseRepresentation
bin10110100111010100…
…11001011000111011
31011100010111210112000
423103222121120323
5144331101304321
65324424352043
7606603101415
oct132352313073
934303453460
1012141041211
115170334a62
12242a015623
1311b6447a70
148326539b5
154b0d30826
hex2d3a9963b

12141041211 has 64 divisors (see below), whose sum is σ = 21276595200. Its totient is φ = 6770345472.

The previous prime is 12141041207. The next prime is 12141041219. The reversal of 12141041211 is 11214014121.

12141041211 is a `hidden beast` number, since 1 + 2 + 1 + 410 + 41 + 211 = 666.

It is not a de Polignac number, because 12141041211 - 22 = 12141041207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12141041219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113811 + ... + 192963.

It is an arithmetic number, because the mean of its divisors is an integer number (332446800).

Almost surely, 212141041211 is an apocalyptic number.

12141041211 is a deficient number, since it is larger than the sum of its proper divisors (9135553989).

12141041211 is a wasteful number, since it uses less digits than its factorization.

12141041211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79217 (or 79211 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12141041211 its reverse (11214014121), we get a palindrome (23355055332).

The spelling of 12141041211 in words is "twelve billion, one hundred forty-one million, forty-one thousand, two hundred eleven".

Divisors: 1 3 9 13 19 23 27 39 57 69 117 171 207 247 299 351 437 513 621 741 897 1311 2223 2691 3933 5681 6669 8073 11799 17043 51129 79153 153387 237459 712377 1028989 1503907 1820519 2137131 3086967 4511721 5461557 9260901 13535163 16384671 19550791 23666747 27782703 34589861 40605489 49154013 58652373 71000241 103769583 175957119 213000723 311308749 449668193 527871357 639002169 933926247 1349004579 4047013737 12141041211