1200313300 has 72 divisors (see below), whose sum is σ = 2685062520. Its totient is φ = 465408000.

The previous prime is 1200313193. The next prime is 1200313321. The reversal of 1200313300 is 33130021.

It can be written as a sum of positive squares in 12 ways, for example, as 74442384 + 1125870916 = 8628^2 + 33554^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483296 + ... + 1484104.

It is an arithmetic number, because the mean of its divisors is an integer number (37292535).

Almost surely, 2^1200313300 is an apocalyptic number.

1200313300 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 1200313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342531260).

1200313300 is an abundant number, since it is smaller than the sum of its proper divisors (1484749220).

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

1200313300 is a wasteful number, since it uses less digits than its factorization.

1200313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1200313300 is about 34645.5379522385. The cubic root of 1200313300 is about 1062.7510419492.

Adding to 1200313300 its reverse (33130021), we get a palindrome (1233443321).

The spelling of 1200313300 in words is "one billion, two hundred million, three hundred thirteen thousand, three hundred".