1204124800 has 96 divisors (see below), whose sum is σ = 2984295600. Its totient is φ = 480076800.

The previous prime is 1204124771. The next prime is 1204124809. The reversal of 1204124800 is 84214021.

It is not an unprimeable number, because it can be changed into a prime (1204124809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1826871 + ... + 1827529.

Almost surely, 2^1204124800 is an apocalyptic number.

1204124800 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 1204124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492147800).

1204124800 is an abundant number, since it is smaller than the sum of its proper divisors (1780170800).

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

1204124800 is an equidigital number, since it uses as much as digits as its factorization.

1204124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 1204124800 is about 34700.5014372991. The cubic root of 1204124800 is about 1063.8747473492.

Adding to 1204124800 its reverse (84214021), we get a palindrome (1288338821).

The spelling of 1204124800 in words is "one billion, two hundred four million, one hundred twenty-four thousand, eight hundred".