2124000 has 144 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 556800.

The previous prime is 2123999. The next prime is 2124007. The reversal of 2124000 is 4212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2124000² = 9022752000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35971 + ... + 36029.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2^2124000 is an apocalyptic number.

2124000 is a gapful number since it is divisible by the number (20) 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 2124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

2124000 is an abundant number, since it is smaller than the sum of its proper divisors (5541840).

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

2124000 is a wasteful number, since it uses less digits than its factorization.

2124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2124000 is about 1457.3949361789. The cubic root of 2124000 is about 128.5439094542.

Adding to 2124000 its reverse (4212), we get a palindrome (2128212).

The spelling of 2124000 in words is "two million, one hundred twenty-four thousand".