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12000112011 = 3659279001
BaseRepresentation
bin10110010110100001…
…10010110110001011
31010222022022212000000
423023100302312023
5144034012041021
65302432014043
7603242161206
oct131320626613
933868285000
1012000112011
1150a8828848
1223aa991323
1311931a37c4
1481ba4a93d
154a3793b26
hex2cb432d8b

12000112011 has 28 divisors (see below), whose sum is σ = 18296951160. Its totient is φ = 7864452000.

The previous prime is 12000111833. The next prime is 12000112021. The reversal of 12000112011 is 11021100021.

It is a happy number.

12000112011 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 12000112011 - 29 = 12000111499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000111984 and 12000112002.

It is not an unprimeable number, because it can be changed into a prime (12000112021) 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 27 ways as a sum of consecutive naturals, for example, 96490 + ... + 182511.

Almost surely, 212000112011 is an apocalyptic number.

12000112011 is a deficient number, since it is larger than the sum of its proper divisors (6296839149).

12000112011 is an frugal number, since it uses more digits than its factorization.

12000112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279078 (or 279063 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000112011 its reverse (11021100021), we get a palindrome (23021212032).

The spelling of 12000112011 in words is "twelve billion, one hundred twelve thousand, eleven".

Divisors: 1 3 9 27 59 81 177 243 531 729 1593 4779 14337 43011 279001 837003 2511009 7533027 16461059 22599081 49383177 67797243 148149531 203391729 444448593 1333345779 4000037337 12000112011