1322240000 has 120 divisors (see below), whose sum is σ = 3306933630. Its totient is φ = 528384000.

The previous prime is 1322239999. The next prime is 1322240009. The reversal of 1322240000 is 422231.

It can be written as a sum of positive squares in 5 ways, for example, as 208282624 + 1113957376 = 14432^2 + 33376^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1322240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279484 + ... + 1280516.

Almost surely, 2^1322240000 is an apocalyptic number.

1322240000 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 1322240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653466815).

1322240000 is an abundant number, since it is smaller than the sum of its proper divisors (1984693630).

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

1322240000 is an frugal number, since it uses more digits than its factorization.

1322240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1322240000 is about 36362.6181675632. The cubic root of 1322240000 is about 1097.5814631928.

Adding to 1322240000 its reverse (422231), we get a palindrome (1322662231).

The spelling of 1322240000 in words is "one billion, three hundred twenty-two million, two hundred forty thousand".