32123020320 has 288 divisors, whose sum is σ = 115907500800. Its totient is φ = 8078856192.

The previous prime is 32123020283. The next prime is 32123020379. The reversal of 32123020320 is 2302032123.

It is a happy number.

32123020320 is a `hidden beast` number, since 32 + 12 + 302 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 32123020293 and 32123020302.

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 47 ways as a sum of consecutive naturals, for example, 6372361 + ... + 6377399.

It is an arithmetic number, because the mean of its divisors is an integer number (402456600).

Almost surely, 2^32123020320 is an apocalyptic number.

32123020320 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 32123020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57953750400).

32123020320 is an abundant number, since it is smaller than the sum of its proper divisors (83784480480).

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

32123020320 is a wasteful number, since it uses less digits than its factorization.

32123020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32123020320 its reverse (2302032123), we get a palindrome (34425052443).

The spelling of 32123020320 in words is "thirty-two billion, one hundred twenty-three million, twenty thousand, three hundred twenty".