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12131224 = 23734421
BaseRepresentation
bin101110010001…
…101110011000
3211211022220121
4232101232120
511101144344
61112003024
7205054000
oct56215630
924738817
1012131224
116936406
124090474
132689951
14187b000
1510e9684
hexb91b98

12131224 has 32 divisors (see below), whose sum is σ = 26532000. Its totient is φ = 5197920.

The previous prime is 12131219. The next prime is 12131257. The reversal of 12131224 is 42213121.

12131224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12131198 and 12131207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 4954.

It is an arithmetic number, because the mean of its divisors is an integer number (829125).

Almost surely, 212131224 is an apocalyptic number.

12131224 is a gapful number since it is divisible by the number (14) 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 12131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13266000).

12131224 is an abundant number, since it is smaller than the sum of its proper divisors (14400776).

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

12131224 is an equidigital number, since it uses as much as digits as its factorization.

12131224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4430 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 12131224 is about 3482.9906689510. The cubic root of 12131224 is about 229.7743470523.

Adding to 12131224 its reverse (42213121), we get a palindrome (54344345).

The spelling of 12131224 in words is "twelve million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 4421 8842 17684 30947 35368 61894 123788 216629 247576 433258 866516 1516403 1733032 3032806 6065612 12131224