12004800 has 168 divisors, whose sum is σ = 41007792. Its totient is φ = 3072000.

The previous prime is 12004799. The next prime is 12004801. The reversal of 12004800 is 840021.

12004800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12004799) and next prime (12004801).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12004800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196770 + ... + 196830.

It is an arithmetic number, because the mean of its divisors is an integer number (244094).

Almost surely, 2^12004800 is an apocalyptic number.

12004800 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 12004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503896).

12004800 is an abundant number, since it is smaller than the sum of its proper divisors (29002992).

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

12004800 is a wasteful number, since it uses less digits than its factorization.

12004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12004800 is about 3464.7943661926. The cubic root of 12004800 is about 228.9733701546.

Adding to 12004800 its reverse (840021), we get a palindrome (12844821).

It can be divided in two parts, 1200 and 4800, that multiplied together give a square (5760000 = 2400²).

The spelling of 12004800 in words is "twelve million, four thousand, eight hundred".