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12005175211 = 296111296011
BaseRepresentation
bin10110010111001000…
…00110111110101011
31010222122212002101221
423023210012332223
5144041311101321
65303132322511
7603333206551
oct131344067653
933878762357
1012005175211
115100676907
1223b0613437
131194257293
1481c5a7bd1
154a3e43e41
hex2cb906fab

12005175211 has 16 divisors (see below), whose sum is σ = 12636021600. Its totient is φ = 11389190400.

The previous prime is 12005175199. The next prime is 12005175241. The reversal of 12005175211 is 11257150021.

It is a cyclic number.

It is not a de Polignac number, because 12005175211 - 213 = 12005167019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12005175241) 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 15 ways as a sum of consecutive naturals, for example, 1994196 + ... + 2000206.

It is an arithmetic number, because the mean of its divisors is an integer number (789751350).

Almost surely, 212005175211 is an apocalyptic number.

12005175211 is a deficient number, since it is larger than the sum of its proper divisors (630846389).

12005175211 is a wasteful number, since it uses less digits than its factorization.

12005175211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230.

The product of its (nonzero) digits is 700, while the sum is 25.

The spelling of 12005175211 in words is "twelve billion, five million, one hundred seventy-five thousand, two hundred eleven".

Divisors: 1 29 61 1129 1769 6011 32741 68869 174319 366671 1997201 6786419 10633459 196806151 413971559 12005175211