1200310400 has 48 divisors (see below), whose sum is σ = 2965149690. Its totient is φ = 480122880.

The previous prime is 1200310399. The next prime is 1200310411. The reversal of 1200310400 is 40130021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1039933504 + 160376896 = 32248^2 + 12664^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 184349 + ... + 190748.

Almost surely, 2^1200310400 is an apocalyptic number.

1200310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200310400 is an abundant number, since it is smaller than the sum of its proper divisors (1764839290).

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

1200310400 is an equidigital number, since it uses as much as digits as its factorization.

1200310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375121 (or 375104 counting only the distinct ones).

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

The square root of 1200310400 is about 34645.4960997819. The cubic root of 1200310400 is about 1062.7501860670.

Adding to 1200310400 its reverse (40130021), we get a palindrome (1240440421).

The spelling of 1200310400 in words is "one billion, two hundred million, three hundred ten thousand, four hundred".