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12112217017 = 79727895449
BaseRepresentation
bin10110100011111000…
…11100001110111001
31011021010021101011021
423101330130032321
5144301211421032
65321514502441
7606103101025
oct132174341671
934233241137
1012112217017
115156037a0a
122420434a21
1311b0495024
1482c8ad385
154ad53a097
hex2d1f1c3b9

12112217017 has 8 divisors (see below), whose sum is σ = 12133989000. Its totient is φ = 12090463104.

The previous prime is 12112216999. The next prime is 12112217063. The reversal of 12112217017 is 71071221121.

It can be written as a sum of positive squares in 4 ways, for example, as 581967376 + 11530249641 = 24124^2 + 107379^2 .

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 12112217017 - 223 = 12103828409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12112216982 and 12112217000.

It is not an unprimeable number, because it can be changed into a prime (12112217077) 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 7 ways as a sum of consecutive naturals, for example, 2220109 + ... + 2225557.

It is an arithmetic number, because the mean of its divisors is an integer number (1516748625).

Almost surely, 212112217017 is an apocalyptic number.

It is an amenable number.

12112217017 is a deficient number, since it is larger than the sum of its proper divisors (21771983).

12112217017 is an equidigital number, since it uses as much as digits as its factorization.

12112217017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 12112217017 its reverse (71071221121), we get a palindrome (83183438138).

The spelling of 12112217017 in words is "twelve billion, one hundred twelve million, two hundred seventeen thousand, seventeen".

Divisors: 1 797 2789 5449 2222833 4342853 15197261 12112217017