32122308960 has 576 divisors, whose sum is σ = 132748761600. Its totient is φ = 6909566976.

The previous prime is 32122308929. The next prime is 32122308989. The reversal of 32122308960 is 6980322123.

32122308960 is a `hidden beast` number, since 321 + 22 + 308 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 34281612 + ... + 34282548.

It is an arithmetic number, because the mean of its divisors is an integer number (230466600).

Almost surely, 2^32122308960 is an apocalyptic number.

32122308960 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 32122308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66374380800).

32122308960 is an abundant number, since it is smaller than the sum of its proper divisors (100626452640).

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

32122308960 is a wasteful number, since it uses less digits than its factorization.

32122308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 32122308960 in words is "thirty-two billion, one hundred twenty-two million, three hundred eight thousand, nine hundred sixty".