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12000122211 = 3711241721493
BaseRepresentation
bin10110010110100001…
…10101010101100011
31010222022100100222210
423023100311111203
5144034012402321
65302432133203
7603242233020
oct131320652543
933868310883
1012000122211
1150a8835480
1223aa997203
1311931a833c
1481ba50547
154a3796b76
hex2cb435563

12000122211 has 32 divisors (see below), whose sum is σ = 19957436928. Its totient is φ = 6230960640.

The previous prime is 12000122171. The next prime is 12000122219. The reversal of 12000122211 is 11222100021.

12000122211 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 12000122211 - 27 = 12000122083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12000122219) 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, 547581 + ... + 569073.

It is an arithmetic number, because the mean of its divisors is an integer number (623669904).

Almost surely, 212000122211 is an apocalyptic number.

12000122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12000122211 is a deficient number, since it is larger than the sum of its proper divisors (7957314717).

12000122211 is a wasteful number, since it uses less digits than its factorization.

12000122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23931.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000122211 its reverse (11222100021), we get a palindrome (23222222232).

The spelling of 12000122211 in words is "twelve billion, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 11 21 33 77 231 2417 7251 16919 21493 26587 50757 64479 79761 150451 186109 236423 451353 558327 709269 1654961 4964883 51948581 155845743 363640067 571434391 1090920201 1714303173 4000040737 12000122211