1322333033120 has 192 divisors, whose sum is σ = 3445017174144. Its totient is φ = 475644395520.

The previous prime is 1322333033059. The next prime is 1322333033141. The reversal of 1322333033120 is 213303332231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1322333033120.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104007884 + ... + 104020596.

It is an arithmetic number, because the mean of its divisors is an integer number (17942797782).

Almost surely, 2^{1322333033120} is an apocalyptic number.

1322333033120 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 1322333033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722508587072).

1322333033120 is an abundant number, since it is smaller than the sum of its proper divisors (2122684141024).

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

1322333033120 is a wasteful number, since it uses less digits than its factorization.

1322333033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13375 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 1322333033120 its reverse (213303332231), we get a palindrome (1535636365351).

The spelling of 1322333033120 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-three million, thirty-three thousand, one hundred twenty".