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12242112 = 26363761
BaseRepresentation
bin101110101100…
…110011000000
3212000222000120
4232230303000
511113221422
61114220240
7206025201
oct56546300
925028016
1012242112
116a01753
124124680
1326c826c
1418a95a8
15111c45c
hexbaccc0

12242112 has 28 divisors (see below), whose sum is σ = 32391096. Its totient is φ = 4080640.

The previous prime is 12242107. The next prime is 12242123. The reversal of 12242112 is 21124221.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12242091 and 12242100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31689 + ... + 32072.

Almost surely, 212242112 is an apocalyptic number.

12242112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12242112 is an abundant number, since it is smaller than the sum of its proper divisors (20148984).

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

12242112 is an equidigital number, since it uses as much as digits as its factorization.

12242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63776 (or 63766 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 12242112 is about 3498.8729613977. The cubic root of 12242112 is about 230.4723249021.

Adding to 12242112 its reverse (21124221), we get a palindrome (33366333).

The spelling of 12242112 in words is "twelve million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 63761 127522 191283 255044 382566 510088 765132 1020176 1530264 2040352 3060528 4080704 6121056 12242112