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12112010112 = 27331541693
BaseRepresentation
bin10110100011110111…
…01001101110000000
31011021002212212100010
423101323221232000
5144301133310422
65321510224520
7606101246556
oct132173515600
934232785303
1012112010112
115155a06514
122420355140
1311b0421ab7
1482c857bd6
154ad4e8b0c
hex2d1ee9b80

12112010112 has 32 divisors (see below), whose sum is σ = 32172527880. Its totient is φ = 4037336576.

The previous prime is 12112010083. The next prime is 12112010147. The reversal of 12112010112 is 21101021121.

12112010112 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 (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 3 ways as a sum of consecutive naturals, for example, 15770463 + ... + 15771230.

Almost surely, 212112010112 is an apocalyptic number.

12112010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12112010112 is an abundant number, since it is smaller than the sum of its proper divisors (20060517768).

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

12112010112 is an equidigital number, since it uses as much as digits as its factorization.

12112010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31541710 (or 31541698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12112010112 its reverse (21101021121), we get a palindrome (33213031233).

The spelling of 12112010112 in words is "twelve billion, one hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 31541693 63083386 94625079 126166772 189250158 252333544 378500316 504667088 757000632 1009334176 1514001264 2018668352 3028002528 4037336704 6056005056 12112010112