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12112012112 = 241017579901
BaseRepresentation
bin10110100011110111…
…01010001101010000
31011021002212222002012
423101323222031100
5144301133341422
65321510242052
7606101255444
oct132173521520
934232788065
1012112012112
115155a07a72
122420356328
1311b0422995
1482c858824
154ad4e94e2
hex2d1eea350

12112012112 has 40 divisors (see below), whose sum is σ = 23733073992. Its totient is φ = 5987520000.

The previous prime is 12112012067. The next prime is 12112012177. The reversal of 12112012112 is 21121021121.

12112012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8978699536 + 3133312576 = 94756^2 + 55976^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1218362 + ... + 1228262.

Almost surely, 212112012112 is an apocalyptic number.

It is an amenable number.

12112012112 is a deficient number, since it is larger than the sum of its proper divisors (11621061880).

12112012112 is a wasteful number, since it uses less digits than its factorization.

12112012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10767 (or 10761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

12112012112 divided by its product of nonzero digits (16) gives a palindrome (757000757).

Adding to 12112012112 its reverse (21121021121), we get a palindrome (33233033233).

Subtracting 12112012112 from its reverse (21121021121), we obtain a palindrome (9009009009).

The spelling of 12112012112 in words is "twelve billion, one hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 101 202 404 757 808 1514 1616 3028 6056 9901 12112 19802 39604 76457 79208 152914 158416 305828 611656 1000001 1223312 2000002 4000004 7495057 8000008 14990114 16000016 29980228 59960456 119920912 757000757 1514001514 3028003028 6056006056 12112012112