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12112120111 = 7137112591489
BaseRepresentation
bin10110100011111000…
…00100100100101111
31011021010002110020011
423101330010210233
5144301200320421
65321512434051
7606102215350
oct132174044457
934233073204
1012112120111
115155a81123
1224203a8927
1311b045cba0
1482c885d27
154ad51b4e1
hex2d1f0492f

12112120111 has 32 divisors (see below), whose sum is σ = 15139353600. Its totient is φ = 9434396160.

The previous prime is 12112120109. The next prime is 12112120121. The reversal of 12112120111 is 11102121121.

It is a happy number.

12112120111 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 12112120111 - 21 = 12112120109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12112120091 and 12112120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112120121) 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, 8133655 + ... + 8135143.

It is an arithmetic number, because the mean of its divisors is an integer number (473104800).

Almost surely, 212112120111 is an apocalyptic number.

12112120111 is a deficient number, since it is larger than the sum of its proper divisors (3027233489).

12112120111 is a wasteful number, since it uses less digits than its factorization.

12112120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12112120111 its reverse (11102121121), we get a palindrome (23214241232).

The spelling of 12112120111 in words is "twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 7 13 71 91 497 923 1259 1489 6461 8813 10423 16367 19357 89389 105719 114569 135499 625723 740033 1162057 1374347 1874651 8134399 9620429 13122557 24370463 133100221 170593241 931701547 1730302873 12112120111