1322333120000 has 200 divisors, whose sum is σ = 3475329257400. Its totient is φ = 501092352000.

The previous prime is 1322333119969. The next prime is 1322333120021. The reversal of 1322333120000 is 213332231.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5971256 + ... + 6188744.

It is an arithmetic number, because the mean of its divisors is an integer number (17376646287).

Almost surely, 2^{1322333120000} is an apocalyptic number.

1322333120000 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 1322333120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737664628700).

1322333120000 is an abundant number, since it is smaller than the sum of its proper divisors (2152996137400).

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

1322333120000 is an frugal number, since it uses more digits than its factorization.

1322333120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217546 (or 217515 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1322333120000 its reverse (213332231), we get a palindrome (1322546452231).

The spelling of 1322333120000 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-three million, one hundred twenty thousand".