32123320320 has 384 divisors, whose sum is σ = 126496581120. Its totient is φ = 6777077760.

The previous prime is 32123320319. The next prime is 32123320331. The reversal of 32123320320 is 2302332123.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2789775 + ... + 2801265.

It is an arithmetic number, because the mean of its divisors is an integer number (329418180).

Almost surely, 2^32123320320 is an apocalyptic number.

32123320320 is a gapful number since it is divisible by the number (30) 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 32123320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63248290560).

32123320320 is an abundant number, since it is smaller than the sum of its proper divisors (94373260800).

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

32123320320 is a wasteful number, since it uses less digits than its factorization.

32123320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 32123320320 its reverse (2302332123), we get a palindrome (34425652443).

The spelling of 32123320320 in words is "thirty-two billion, one hundred twenty-three million, three hundred twenty thousand, three hundred twenty".