3202121104000 has 512 divisors, whose sum is σ = 9876214333440. Its totient is φ = 1005380812800.

The previous prime is 3202121103967. The next prime is 3202121104003. The reversal of 3202121104000 is 4011212023.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3202121104003) 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 63 ways as a sum of consecutive naturals, for example, 184903342 + ... + 184920658.

It is an arithmetic number, because the mean of its divisors is an integer number (19289481120).

Almost surely, 2^{3202121104000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3202121104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938107166720).

3202121104000 is an abundant number, since it is smaller than the sum of its proper divisors (6674093229440).

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

3202121104000 is a wasteful number, since it uses less digits than its factorization.

3202121104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17493 (or 17471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 3202121104000 its reverse (4011212023), we get a palindrome (3206132316023).

The spelling of 3202121104000 in words is "three trillion, two hundred two billion, one hundred twenty-one million, one hundred four thousand".