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12242124 = 2233263431
BaseRepresentation
bin101110101100…
…110011001100
3212000222001000
4232230303030
511113221444
61114220300
7206025216
oct56546314
925028030
1012242124
116a01764
124124690
1326c827b
1418a95b6
15111c469
hexbacccc

12242124 has 48 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 4055760.

The previous prime is 12242123. The next prime is 12242161. The reversal of 12242124 is 42124221.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 12242097 and 12242106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28189 + ... + 28619.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 212242124 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 12242124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

12242124 is an abundant number, since it is smaller than the sum of its proper divisors (19691316).

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

12242124 is a wasteful number, since it uses less digits than its factorization.

12242124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 699 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12242124 is about 3498.8746762352. The cubic root of 12242124 is about 230.4724002069.

Adding to 12242124 its reverse (42124221), we get a palindrome (54366345).

The spelling of 12242124 in words is "twelve million, two hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 431 526 789 862 1052 1293 1578 1724 2367 2586 3156 3879 4734 5172 7101 7758 9468 11637 14202 15516 23274 28404 46548 113353 226706 340059 453412 680118 1020177 1360236 2040354 3060531 4080708 6121062 12242124