1320032142 has 192 divisors, whose sum is σ = 3532419072. Its totient is φ = 350784000.

The previous prime is 1320032117. The next prime is 1320032149. The reversal of 1320032142 is 2412300231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320032149) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5665258 + ... + 5665490.

It is an arithmetic number, because the mean of its divisors is an integer number (18398016).

Almost surely, 2^1320032142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320032142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766209536).

1320032142 is an abundant number, since it is smaller than the sum of its proper divisors (2212386930).

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

1320032142 is a wasteful number, since it uses less digits than its factorization.

1320032142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320032142 is about 36332.2465861939. The cubic root of 1320032142 is about 1096.9702140836.

Adding to 1320032142 its reverse (2412300231), we get a palindrome (3732332373).

The spelling of 1320032142 in words is "one billion, three hundred twenty million, thirty-two thousand, one hundred forty-two".