1322013222432 has 72 divisors (see below), whose sum is σ = 4296542979456. Its totient is φ = 377718062976.

The previous prime is 1322013222419. The next prime is 1322013222461. The reversal of 1322013222432 is 2342223102231.

1322013222432 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 1 + 3 + 222 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1322013222396 and 1322013222405.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 327878248 + ... + 327882279.

It is an arithmetic number, because the mean of its divisors is an integer number (59674208048).

Almost surely, 2^{1322013222432} is an apocalyptic number.

1322013222432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322013222432 is an abundant number, since it is smaller than the sum of its proper divisors (2974529757024).

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

1322013222432 is a wasteful number, since it uses less digits than its factorization.

1322013222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655760550 (or 655760539 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1322013222432 its reverse (2342223102231), we get a palindrome (3664236324663).

The spelling of 1322013222432 in words is "one trillion, three hundred twenty-two billion, thirteen million, two hundred twenty-two thousand, four hundred thirty-two".