32121013008 has 160 divisors (see below), whose sum is σ = 100855767040. Its totient is φ = 8604610560.

The previous prime is 32121013007. The next prime is 32121013039. The reversal of 32121013008 is 80031012123.

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

It is not an unprimeable number, because it can be changed into a prime (32121013007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593313 + ... + 645183.

It is an arithmetic number, because the mean of its divisors is an integer number (630348544).

Almost surely, 2^32121013008 is an apocalyptic number.

32121013008 is a gapful number since it is divisible by the number (38) 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 32121013008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50427883520).

32121013008 is an abundant number, since it is smaller than the sum of its proper divisors (68734754032).

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

32121013008 is a wasteful number, since it uses less digits than its factorization.

32121013008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52005 (or 51999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 32121013008 in words is "thirty-two billion, one hundred twenty-one million, thirteen thousand, eight".