32121012960 has 144 divisors (see below), whose sum is σ = 110219447520. Its totient is φ = 8518210560.

The previous prime is 32121012953. The next prime is 32121012961. The reversal of 32121012960 is 6921012123.

32121012960 is a `hidden beast` number, since 321 + 210 + 129 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121012961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 199021 + ... + 322259.

It is an arithmetic number, because the mean of its divisors is an integer number (765412830).

Almost surely, 2^32121012960 is an apocalyptic number.

32121012960 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 32121012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55109723760).

32121012960 is an abundant number, since it is smaller than the sum of its proper divisors (78098434560).

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

32121012960 is a wasteful number, since it uses less digits than its factorization.

32121012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123441 (or 123430 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 32121012960 in words is "thirty-two billion, one hundred twenty-one million, twelve thousand, nine hundred sixty".