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12000210111 = 323740189867
BaseRepresentation
bin10110010110100010…
…01010110010111111
31010222022111211120100
423023101022302333
5144034023210421
65302434052143
7603243050211
oct131321126277
933868454510
1012000210111
1150a889551a
1223aaa1a053
131193209356
1481ba745b1
154a37b2c26
hex2cb44acbf

12000210111 has 24 divisors (see below), whose sum is σ = 17846706384. Its totient is φ = 7764422400.

The previous prime is 12000210107. The next prime is 12000210163. The reversal of 12000210111 is 11101200021.

It is a happy number.

It is not a de Polignac number, because 12000210111 - 22 = 12000210107 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 = 12000210093 and 12000210102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000210181) 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 23 ways as a sum of consecutive naturals, for example, 88600 + ... + 178466.

It is an arithmetic number, because the mean of its divisors is an integer number (743612766).

Almost surely, 212000210111 is an apocalyptic number.

12000210111 is a deficient number, since it is larger than the sum of its proper divisors (5846496273).

12000210111 is a wasteful number, since it uses less digits than its factorization.

12000210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90311 (or 90308 counting only the distinct ones).

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

Adding to 12000210111 its reverse (11101200021), we get a palindrome (23101410132).

It can be divided in two parts, 12000 and 210111, that added together give a triangular number (222111 = T666).

The spelling of 12000210111 in words is "twelve billion, two hundred ten thousand, one hundred eleven".

Divisors: 1 3 9 37 111 333 401 1203 3609 14837 44511 89867 133533 269601 808803 3325079 9975237 29925711 36036667 108110001 324330003 1333356679 4000070037 12000210111