1322086321920 has 576 divisors, whose sum is σ = 5225777915904. Its totient is φ = 277391278080.

The previous prime is 1322086321889. The next prime is 1322086321967. The reversal of 1322086321920 is 291236802231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63238189 + ... + 63259091.

It is an arithmetic number, because the mean of its divisors is an integer number (9072531104).

Almost surely, 2^{1322086321920} is an apocalyptic number.

1322086321920 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 1322086321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612888957952).

1322086321920 is an abundant number, since it is smaller than the sum of its proper divisors (3903691593984).

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

1322086321920 is a wasteful number, since it uses less digits than its factorization.

1322086321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21128 (or 21114 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 1322086321920 in words is "one trillion, three hundred twenty-two billion, eighty-six million, three hundred twenty-one thousand, nine hundred twenty".