1322331122112 has 896 divisors, whose sum is σ = 5078910197760. Its totient is φ = 292208394240.

The previous prime is 1322331122111. The next prime is 1322331122117. The reversal of 1322331122112 is 2112211332231.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322331122111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135106083 + ... + 135115869.

It is an arithmetic number, because the mean of its divisors is an integer number (5668426560).

Almost surely, 2^{1322331122112} is an apocalyptic number.

1322331122112 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 1322331122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539455098880).

1322331122112 is an abundant number, since it is smaller than the sum of its proper divisors (3756579075648).

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

1322331122112 is a wasteful number, since it uses less digits than its factorization.

1322331122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889 (or 9879 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 1322331122112 its reverse (2112211332231), we get a palindrome (3434542454343).

The spelling of 1322331122112 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred twelve".