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12112002112 = 26727035719
BaseRepresentation
bin10110100011110111…
…00111110001000000
31011021002212110100211
423101323213301000
5144301133031422
65321510123504
7606101214340
oct132173476100
934232773324
1012112002112
115155a00501
122420350594
1311b041b272
1482c854d20
154ad4e6577
hex2d1ee7c40

12112002112 has 28 divisors (see below), whose sum is σ = 27468291520. Its totient is φ = 5190857856.

The previous prime is 12112002103. The next prime is 12112002127. The reversal of 12112002112 is 21120021121.

12112002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×121120021122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12112002092 and 12112002101.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13517412 + ... + 13518307.

Almost surely, 212112002112 is an apocalyptic number.

It is an amenable number.

12112002112 is an abundant number, since it is smaller than the sum of its proper divisors (15356289408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12112002112 is an equidigital number, since it uses as much as digits as its factorization.

12112002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27035738 (or 27035728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12112002112 its reverse (21120021121), we get a palindrome (33232023233).

The spelling of 12112002112 in words is "twelve billion, one hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 27035719 54071438 108142876 189250033 216285752 378500066 432571504 757000132 865143008 1514000264 1730286016 3028000528 6056001056 12112002112