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12270112 = 25596797
BaseRepresentation
bin101110110011…
…101000100000
3212002101102121
4232303220200
511120120422
61114554024
7206202631
oct56635040
925071377
1012270112
116a20798
124138914
132707c2a
1418b5888
1511258c7
hexbb3a20

12270112 has 48 divisors (see below), whose sum is σ = 25189920. Its totient is φ = 5879808.

The previous prime is 12270101. The next prime is 12270113. The reversal of 12270112 is 21107221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12270113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 126448 + ... + 126544.

It is an arithmetic number, because the mean of its divisors is an integer number (524790).

Almost surely, 212270112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12270112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594960).

12270112 is an abundant number, since it is smaller than the sum of its proper divisors (12919808).

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

12270112 is an equidigital number, since it uses as much as digits as its factorization.

12270112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 12270112 is about 3502.8719645457. The cubic root of 12270112 is about 230.6479022161.

Adding to 12270112 its reverse (21107221), we get a palindrome (33377333).

The spelling of 12270112 in words is "twelve million, two hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 67 97 118 134 194 236 268 388 472 536 776 944 1072 1552 1888 2144 3104 3953 5723 6499 7906 11446 12998 15812 22892 25996 31624 45784 51992 63248 91568 103984 126496 183136 207968 383441 766882 1533764 3067528 6135056 12270112