1012304000 has 128 divisors (see below), whose sum is σ = 2539555200. Its totient is φ = 401280000.

The previous prime is 1012303997. The next prime is 1012304009. The reversal of 1012304000 is 4032101.

It is a happy number.

1012304000 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1012304009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2415791 + ... + 2416209.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^1012304000 is an apocalyptic number.

1012304000 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 1012304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

1012304000 is an abundant number, since it is smaller than the sum of its proper divisors (1527251200).

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

1012304000 is an equidigital number, since it uses as much as digits as its factorization.

1012304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1012304000 is about 31816.7251614619. The cubic root of 1012304000 is about 1004.0846264439.

Adding to 1012304000 its reverse (4032101), we get a palindrome (1016336101).

The spelling of 1012304000 in words is "one billion, twelve million, three hundred four thousand".