1332320301312 has 576 divisors, whose sum is σ = 4808367083520. Its totient is φ = 316256256000.

The previous prime is 1332320301287. The next prime is 1332320301313. The reversal of 1332320301312 is 2131030232331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1332320301313) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 77636989 + ... + 77654147.

It is an arithmetic number, because the mean of its divisors is an integer number (8347859520).

Almost surely, 2^{1332320301312} is an apocalyptic number.

1332320301312 is a gapful number since it is divisible by the number (12) 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 1332320301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404183541760).

1332320301312 is an abundant number, since it is smaller than the sum of its proper divisors (3476046782208).

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

1332320301312 is a wasteful number, since it uses less digits than its factorization.

1332320301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17310 (or 17296 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1332320301312 its reverse (2131030232331), we get a palindrome (3463350533643).

The spelling of 1332320301312 in words is "one trillion, three hundred thirty-two billion, three hundred twenty million, three hundred one thousand, three hundred twelve".