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12126444 = 2231191867
BaseRepresentation
bin101110010000…
…100011101100
3211211002100120
4232100203230
511101021234
61111524540
7205034031
oct56204354
924732316
1012126444
116932860
124089750
132687715
141879388
1510e8049
hexb908ec

12126444 has 24 divisors (see below), whose sum is σ = 30867648. Its totient is φ = 3674640.

The previous prime is 12126419. The next prime is 12126449. The reversal of 12126444 is 44462121.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12126449) 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, 45802 + ... + 46065.

It is an arithmetic number, because the mean of its divisors is an integer number (1286152).

Almost surely, 212126444 is an apocalyptic number.

It is an amenable number.

12126444 is an abundant number, since it is smaller than the sum of its proper divisors (18741204).

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

12126444 is a wasteful number, since it uses less digits than its factorization.

12126444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91885 (or 91883 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 12126444 is about 3482.3044094392. The cubic root of 12126444 is about 229.7441641770.

Adding to 12126444 its reverse (44462121), we get a palindrome (56588565).

It can be divided in two parts, 121 and 26444, that added together give a triangular number (26565 = T230).

The spelling of 12126444 in words is "twelve million, one hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 91867 183734 275601 367468 551202 1010537 1102404 2021074 3031611 4042148 6063222 12126444