1320131200 has 96 divisors (see below), whose sum is σ = 3295531260. Its totient is φ = 522485760.

The previous prime is 1320131173. The next prime is 1320131221. The reversal of 1320131200 is 21310231.

It can be written as a sum of positive squares in 6 ways, for example, as 189557824 + 1130573376 = 13768^2 + 33624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308274 + ... + 312526.

Almost surely, 2^1320131200 is an apocalyptic number.

1320131200 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 1320131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647765630).

1320131200 is an abundant number, since it is smaller than the sum of its proper divisors (1975400060).

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

1320131200 is an equidigital number, since it uses as much as digits as its factorization.

1320131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1320131200 is about 36333.6097848810. The cubic root of 1320131200 is about 1096.9976530511.

Adding to 1320131200 its reverse (21310231), we get a palindrome (1341441431).

The spelling of 1320131200 in words is "one billion, three hundred twenty million, one hundred thirty-one thousand, two hundred".