1320224142432 has 96 divisors (see below), whose sum is σ = 3740675178240. Its totient is φ = 405297308160.

The previous prime is 1320224142403. The next prime is 1320224142527. The reversal of 1320224142432 is 2342414220231.

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

It is a super-3 number, since 3×1320224142432³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1320224142432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656994 + ... + 1752737.

It is an arithmetic number, because the mean of its divisors is an integer number (38965366440).

Almost surely, 2^{1320224142432} is an apocalyptic number.

1320224142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1320224142432 is an abundant number, since it is smaller than the sum of its proper divisors (2420451035808).

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

1320224142432 is a wasteful number, since it uses less digits than its factorization.

1320224142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410196 (or 2410188 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1320224142432 its reverse (2342414220231), we get a palindrome (3662638362663).

The spelling of 1320224142432 in words is "one trillion, three hundred twenty billion, two hundred twenty-four million, one hundred forty-two thousand, four hundred thirty-two".