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12110210112 = 26371113237131
BaseRepresentation
bin10110100011101001…
…10010010001000000
31011020222111102012110
423101310302101000
5144300203210422
65321403455320
7606050042010
oct132164622100
934228442173
1012110210112
115154997110
12241b827540
1311acc41700
1482c509c40
154ad29060c
hex2d1d32440

12110210112 has 672 divisors, whose sum is σ = 44765512704. Its totient is φ = 2803507200.

The previous prime is 12110210081. The next prime is 12110210159. The reversal of 12110210112 is 21101201121.

It is a tau number, because it is divible by the number of its divisors (672).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92444287 + ... + 92444417.

Almost surely, 212110210112 is an apocalyptic number.

12110210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22382756352).

12110210112 is an abundant number, since it is smaller than the sum of its proper divisors (32655302592).

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

12110210112 is a wasteful number, since it uses less digits than its factorization.

12110210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

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

Adding to 12110210112 its reverse (21101201121), we get a palindrome (33211411233).

It can be divided in two parts, 12110 and 210112, that added together give a palindrome (222222).

The spelling of 12110210112 in words is "twelve billion, one hundred ten million, two hundred ten thousand, one hundred twelve".