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12112112101 = 531311744507
BaseRepresentation
bin10110100011111000…
…00010100111100101
31011021010002001020111
423101330002213211
5144301200041401
65321512333021
7606102153115
oct132174024745
934233061214
1012112112101
115155a76101
1224203a4171
1311b045934b
1482c883045
154ad518e51
hex2d1f029e5

12112112101 has 8 divisors (see below), whose sum is σ = 12434853024. Its totient is φ = 11792860560.

The previous prime is 12112112099. The next prime is 12112112119. The reversal of 12112112101 is 10121121121.

It is a happy number.

12112112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12112112101 - 21 = 12112112099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112112141) 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 7 ways as a sum of consecutive naturals, for example, 865311 + ... + 879196.

It is an arithmetic number, because the mean of its divisors is an integer number (1554356628).

Almost surely, 212112112101 is an apocalyptic number.

It is an amenable number.

12112112101 is a deficient number, since it is larger than the sum of its proper divisors (322740923).

12112112101 is a wasteful number, since it uses less digits than its factorization.

12112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744691.

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

Adding to 12112112101 its reverse (10121121121), we get a palindrome (22233233222).

The spelling of 12112112101 in words is "twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred one".

Divisors: 1 53 131 6943 1744507 92458871 228530417 12112112101