1322013120 has 112 divisors (see below), whose sum is σ = 4244827680. Its totient is φ = 348553216.

The previous prime is 1322013037. The next prime is 1322013193. The reversal of 1322013120 is 213102231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1322013120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77704 + ... + 93176.

Almost surely, 2^1322013120 is an apocalyptic number.

1322013120 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 1322013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122413840).

1322013120 is an abundant number, since it is smaller than the sum of its proper divisors (2922814560).

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

1322013120 is a wasteful number, since it uses less digits than its factorization.

1322013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582 (or 15572 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1322013120 is about 36359.4983463744. The cubic root of 1322013120 is about 1097.5186824756.

Adding to 1322013120 its reverse (213102231), we get a palindrome (1535115351).

The spelling of 1322013120 in words is "one billion, three hundred twenty-two million, thirteen thousand, one hundred twenty".