1200330400 has 36 divisors (see below), whose sum is σ = 2930308542. Its totient is φ = 480131840.

The previous prime is 1200330353. The next prime is 1200330401. The reversal of 1200330400 is 40330021.

It can be written as a sum of positive squares in 3 ways, for example, as 912281616 + 288048784 = 30204^2 + 16972^2 .

It is not an unprimeable number, because it can be changed into a prime (1200330401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 749407 + ... + 751006.

Almost surely, 2^1200330400 is an apocalyptic number.

1200330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200330400 is an abundant number, since it is smaller than the sum of its proper divisors (1729978142).

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

1200330400 is a wasteful number, since it uses less digits than its factorization.

1200330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500433 (or 1500420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1200330400 is about 34645.7847363860. The cubic root of 1200330400 is about 1062.7560886751.

Adding to 1200330400 its reverse (40330021), we get a palindrome (1240660421).

The spelling of 1200330400 in words is "one billion, two hundred million, three hundred thirty thousand, four hundred".