1322333534112 has 96 divisors (see below), whose sum is σ = 3677661937152. Its totient is φ = 414584193024.

The previous prime is 1322333534107. The next prime is 1322333534113. The reversal of 1322333534112 is 2114353332231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1322333534112³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322333534113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2298808 + ... + 2815880.

It is an arithmetic number, because the mean of its divisors is an integer number (38308978512).

Almost surely, 2^{1322333534112} is an apocalyptic number.

1322333534112 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 1322333534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838830968576).

1322333534112 is an abundant number, since it is smaller than the sum of its proper divisors (2355328403040).

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

1322333534112 is a wasteful number, since it uses less digits than its factorization.

1322333534112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518670 (or 518662 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

Adding to 1322333534112 its reverse (2114353332231), we get a palindrome (3436686866343).

The spelling of 1322333534112 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-three million, five hundred thirty-four thousand, one hundred twelve".