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12444124 = 2271123673
BaseRepresentation
bin101111011110…
…000111011100
3212102020010111
4233132013130
511141202444
61122415404
7210526150
oct57360734
925366114
1012444124
11702a500
124201564
1327691b4
14191d060
15115c234
hexbde1dc

12444124 has 36 divisors (see below), whose sum is σ = 27363952. Its totient is φ = 4847040.

The previous prime is 12444097. The next prime is 12444137. The reversal of 12444124 is 42144421.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 = 12444095 and 12444104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552 + ... + 5224.

Almost surely, 212444124 is an apocalyptic number.

12444124 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 12444124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681976).

12444124 is an abundant number, since it is smaller than the sum of its proper divisors (14919828).

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

12444124 is a wasteful number, since it uses less digits than its factorization.

12444124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3693 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 12444124 is about 3527.6229957296. The cubic root of 12444124 is about 231.7331205823.

Adding to 12444124 its reverse (42144421), we get a palindrome (54588545).

The spelling of 12444124 in words is "twelve million, four hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1694 3388 3673 7346 14692 25711 40403 51422 80806 102844 161612 282821 444433 565642 888866 1131284 1777732 3111031 6222062 12444124