12124800 has 144 divisors (see below), whose sum is σ = 43366830. Its totient is φ = 3225600.

The previous prime is 12124781. The next prime is 12124829. The reversal of 12124800 is 842121.

It can be written as a sum of positive squares in 3 ways, for example, as 4769856 + 7354944 = 2184^2 + 2712^2 .

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

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 28590 + ... + 29010.

Almost surely, 2^12124800 is an apocalyptic number.

12124800 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 12124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21683415).

12124800 is an abundant number, since it is smaller than the sum of its proper divisors (31242030).

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

12124800 is a wasteful number, since it uses less digits than its factorization.

12124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12124800 is about 3482.0683508513. The cubic root of 12124800 is about 229.7337814554.

Adding to 12124800 its reverse (842121), we get a palindrome (12966921).

The spelling of 12124800 in words is "twelve million, one hundred twenty-four thousand, eight hundred".