1322451200 has 162 divisors, whose sum is σ = 3808588266. Its totient is φ = 453304320.

The previous prime is 1322451191. The next prime is 1322451203. The reversal of 1322451200 is 21542231.

It can be written as a sum of positive squares in 3 ways, for example, as 274763776 + 1047687424 = 16576^2 + 32368^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1322451203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 311492 + ... + 315708.

Almost surely, 2^1322451200 is an apocalyptic number.

1322451200 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 1322451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904294133).

1322451200 is an abundant number, since it is smaller than the sum of its proper divisors (2486137066).

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

1322451200 is an equidigital number, since it uses as much as digits as its factorization.

1322451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1322451200 is about 36365.5221329215. The cubic root of 1322451200 is about 1097.6398985913.

Adding to 1322451200 its reverse (21542231), we get a palindrome (1343993431).

The spelling of 1322451200 in words is "one billion, three hundred twenty-two million, four hundred fifty-one thousand, two hundred".