1322305180 has 72 divisors (see below), whose sum is σ = 3239082000. Its totient is φ = 452116224.

The previous prime is 1322305177. The next prime is 1322305183. The reversal of 1322305180 is 815032231.

It is an interprime number because it is at equal distance from previous prime (1322305177) and next prime (1322305183).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322305183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399171 + ... + 402469.

It is an arithmetic number, because the mean of its divisors is an integer number (44987250).

Almost surely, 2^1322305180 is an apocalyptic number.

1322305180 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 1322305180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619541000).

1322305180 is an abundant number, since it is smaller than the sum of its proper divisors (1916776820).

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

1322305180 is a wasteful number, since it uses less digits than its factorization.

1322305180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1322305180 is about 36363.5144066137. The cubic root of 1322305180 is about 1097.5994980388.

The spelling of 1322305180 in words is "one billion, three hundred twenty-two million, three hundred five thousand, one hundred eighty".