1322133312000 has 320 divisors, whose sum is σ = 4489320236544. Its totient is φ = 345065062400.

The previous prime is 1322133311999. The next prime is 1322133312007. The reversal of 1322133312000 is 2133312231.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1322133312007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8950744 + ... + 9097256.

Almost surely, 2^{1322133312000} is an apocalyptic number.

1322133312000 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 1322133312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244660118272).

1322133312000 is an abundant number, since it is smaller than the sum of its proper divisors (3167186924544).

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

1322133312000 is an equidigital number, since it uses as much as digits as its factorization.

1322133312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146596 (or 146570 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1322133312000 its reverse (2133312231), we get a palindrome (1324266624231).

The spelling of 1322133312000 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, three hundred twelve thousand".