2032232213120 has 256 divisors, whose sum is σ = 5221555138080. Its totient is φ = 753582735360.

The previous prime is 2032232213117. The next prime is 2032232213161. The reversal of 2032232213120 is 213122322302.

It can be written as a sum of positive squares in 16 ways, for example, as 1272726935104 + 759505278016 = 1128152^2 + 871496^2 .

It is a super-2 number, since 2×2032232213120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868103150 + ... + 868105490.

Almost surely, 2^{2032232213120} is an apocalyptic number.

2032232213120 is a gapful number since it is divisible by the number (20) 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 2032232213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610777569040).

2032232213120 is an abundant number, since it is smaller than the sum of its proper divisors (3189322924960).

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

2032232213120 is a wasteful number, since it uses less digits than its factorization.

2032232213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2032232213120 its reverse (213122322302), we get a palindrome (2245354535422).

The spelling of 2032232213120 in words is "two trillion, thirty-two billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".