1322131322232 has 192 divisors, whose sum is σ = 4115966400000. Its totient is φ = 375574102272.

The previous prime is 1322131322207. The next prime is 1322131322233. The reversal of 1322131322232 is 2322231312231.

1322131322232 is a `hidden beast` number, since 1 + 322 + 1 + 313 + 2 + 2 + 23 + 2 = 666.

It is a super-3 number, since 3×1322131322232³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1322131322196 and 1322131322205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322131322233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67642653 + ... + 67662195.

It is an arithmetic number, because the mean of its divisors is an integer number (21437325000).

Almost surely, 2^{1322131322232} is an apocalyptic number.

1322131322232 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 1322131322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057983200000).

1322131322232 is an abundant number, since it is smaller than the sum of its proper divisors (2793835077768).

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

1322131322232 is a wasteful number, since it uses less digits than its factorization.

1322131322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20330 (or 20323 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 1322131322232 its reverse (2322231312231), we get a palindrome (3644362634463).

The spelling of 1322131322232 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred thirty-two".