32122012320 has 192 divisors, whose sum is σ = 112588116480. Its totient is φ = 8553600000.

The previous prime is 32122012309. The next prime is 32122012367. The reversal of 32122012320 is 2321022123.

32122012320 is a `hidden beast` number, since 321 + 2 + 20 + 1 + 2 + 320 = 666.

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 = 32122012293 and 32122012302.

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, 3239370 + ... + 3249270.

It is an arithmetic number, because the mean of its divisors is an integer number (586396440).

Almost surely, 2^32122012320 is an apocalyptic number.

32122012320 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 32122012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56294058240).

32122012320 is an abundant number, since it is smaller than the sum of its proper divisors (80466104160).

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

32122012320 is a wasteful number, since it uses less digits than its factorization.

32122012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 10662 counting only the distinct ones).

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

Adding to 32122012320 its reverse (2321022123), we get a palindrome (34443034443).

The spelling of 32122012320 in words is "thirty-two billion, one hundred twenty-two million, twelve thousand, three hundred twenty".