1322214320 has 80 divisors (see below), whose sum is σ = 3579681600. Its totient is φ = 444767232.

The previous prime is 1322214281. The next prime is 1322214329. The reversal of 1322214320 is 234122231.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 1322214292 and 1322214301.

It is not an unprimeable number, because it can be changed into a prime (1322214329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7406 + ... + 51954.

It is an arithmetic number, because the mean of its divisors is an integer number (44746020).

Almost surely, 2^1322214320 is an apocalyptic number.

1322214320 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 1322214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789840800).

1322214320 is an abundant number, since it is smaller than the sum of its proper divisors (2257467280).

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

1322214320 is a wasteful number, since it uses less digits than its factorization.

1322214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44622 (or 44616 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1322214320 is about 36362.2650559615. The cubic root of 1322214320 is about 1097.5743575553.

Adding to 1322214320 its reverse (234122231), we get a palindrome (1556336551).

The spelling of 1322214320 in words is "one billion, three hundred twenty-two million, two hundred fourteen thousand, three hundred twenty".