1321321248 has 168 divisors, whose sum is σ = 4201225308. Its totient is φ = 406467072.

The previous prime is 1321321231. The next prime is 1321321259. The reversal of 1321321248 is 8421231231.

It can be written as a sum of positive squares in 2 ways, for example, as 1277919504 + 43401744 = 35748^2 + 6588^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 301086 + ... + 305442.

Almost surely, 2^1321321248 is an apocalyptic number.

1321321248 is a gapful number since it is divisible by the number (18) 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 1321321248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100612654).

1321321248 is an abundant number, since it is smaller than the sum of its proper divisors (2879904060).

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

1321321248 is an equidigital number, since it uses as much as digits as its factorization.

1321321248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4375 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1321321248 is about 36349.9827785379. The cubic root of 1321321248 is about 1097.3271879184.

Adding to 1321321248 its reverse (8421231231), we get a palindrome (9742552479).

The spelling of 1321321248 in words is "one billion, three hundred twenty-one million, three hundred twenty-one thousand, two hundred forty-eight".