Search a number
-
+
12112122121 = 1110719875179
BaseRepresentation
bin10110100011111000…
…00101000100001001
31011021010002112222121
423101330011010021
5144301200401441
65321512451241
7606102224251
oct132174050411
934233075877
1012112122121
115155a82690
1224203a9b21
1311b0460a88
1482c886961
154ad51bdd1
hex2d1f05109

12112122121 has 16 divisors (see below), whose sum is σ = 13346000640. Its totient is φ = 10900518480.

The previous prime is 12112122103. The next prime is 12112122131. The reversal of 12112122121 is 12122121121.

It is a cyclic number.

It is not a de Polignac number, because 12112122121 - 25 = 12112122089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12112122095 and 12112122104.

It is not an unprimeable number, because it can be changed into a prime (12112122131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2336110 + ... + 2341288.

It is an arithmetic number, because the mean of its divisors is an integer number (834125040).

Almost surely, 212112122121 is an apocalyptic number.

12112122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112122121 is a deficient number, since it is larger than the sum of its proper divisors (1233878519).

12112122121 is a wasteful number, since it uses less digits than its factorization.

12112122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284.

The product of its digits is 32, while the sum is 16.

Adding to 12112122121 its reverse (12122121121), we get a palindrome (24234243242).

It can be divided in two parts, 121 and 12122121, that multiplied together give a palindrome (1466776641).

The spelling of 12112122121 in words is "twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 11 107 1177 1987 5179 21857 56969 212609 554153 2338699 6095683 10290673 113197403 1101102011 12112122121