12124728 has 160 divisors (see below), whose sum is σ = 42514560. Its totient is φ = 3149280.

The previous prime is 12124727. The next prime is 12124769. The reversal of 12124728 is 82742121.

It is a super-3 number, since 3×12124728³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1102243 + ... + 1102253.

It is an arithmetic number, because the mean of its divisors is an integer number (265716).

Almost surely, 2^12124728 is an apocalyptic number.

12124728 is a gapful number since it is divisible by the number (18) 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 12124728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257280).

12124728 is an abundant number, since it is smaller than the sum of its proper divisors (30389832).

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

12124728 is an frugal number, since it uses more digits than its factorization.

12124728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12124728 is about 3482.0580121532. The cubic root of 12124728 is about 229.7333267162.

Adding to 12124728 its reverse (82742121), we get a palindrome (94866849).

The spelling of 12124728 in words is "twelve million, one hundred twenty-four thousand, seven hundred twenty-eight".