12124000 has 96 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 4147200.

The previous prime is 12123977. The next prime is 12124061. The reversal of 12124000 is 42121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27784 + ... + 28216.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^12124000 is an apocalyptic number.

12124000 is a gapful number since it is divisible by the number (10) 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 12124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

12124000 is an abundant number, since it is smaller than the sum of its proper divisors (21998816).

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

12124000 is an equidigital number, since it uses as much as digits as its factorization.

12124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12124000 is about 3481.9534747035. The cubic root of 12124000 is about 229.7287286967.

Adding to 12124000 its reverse (42121), we get a palindrome (12166121).

The spelling of 12124000 in words is "twelve million, one hundred twenty-four thousand".