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12112131121 = 109142977761
BaseRepresentation
bin10110100011111000…
…00111010000110001
31011021010010000022221
423101330013100301
5144301201143441
65321513001041
7606102262426
oct132174072061
934233100287
1012112131121
115155a89422
1224203b3181
1311b0464bbc
1482c889d4d
154ad51e8d1
hex2d1f07431

12112131121 has 8 divisors (see below), whose sum is σ = 12231962600. Its totient is φ = 11992458240.

The previous prime is 12112131089. The next prime is 12112131133. The reversal of 12112131121 is 12113121121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 173290896 + 11938840225 = 13164^2 + 109265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12112131121 - 25 = 12112131089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12112131095 and 12112131104.

It is not an unprimeable number, because it can be changed into a prime (12112141121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116881 + ... + 194641.

It is an arithmetic number, because the mean of its divisors is an integer number (1528995325).

Almost surely, 212112131121 is an apocalyptic number.

It is an amenable number.

12112131121 is a deficient number, since it is larger than the sum of its proper divisors (119831479).

12112131121 is a wasteful number, since it uses less digits than its factorization.

12112131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79299.

The product of its digits is 24, while the sum is 16.

Adding to 12112131121 its reverse (12113121121), we get a palindrome (24225252242).

The spelling of 12112131121 in words is "twelve billion, one hundred twelve million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 109 1429 77761 155761 8475949 111120469 12112131121