1032032122016 has 48 divisors (see below), whose sum is σ = 2350049091264. Its totient is φ = 436970563584.

The previous prime is 1032032122007. The next prime is 1032032122019. The reversal of 1032032122016 is 6102212302301.

It is a super-4 number, since 4×1032032122016⁴ (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032032121982 and 1032032122000.

It is not an unprimeable number, because it can be changed into a prime (1032032122019) 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 7 ways as a sum of consecutive naturals, for example, 27736145 + ... + 27773328.

It is an arithmetic number, because the mean of its divisors is an integer number (48959356068).

Almost surely, 2^{1032032122016} is an apocalyptic number.

1032032122016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1032032122016 is an abundant number, since it is smaller than the sum of its proper divisors (1318016969248).

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

1032032122016 is an equidigital number, since it uses as much as digits as its factorization.

1032032122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55509573 (or 55509565 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1032032122016 its reverse (6102212302301), we get a palindrome (7134244424317).

The spelling of 1032032122016 in words is "one trillion, thirty-two billion, thirty-two million, one hundred twenty-two thousand, sixteen".