3201122000 has 80 divisors (see below), whose sum is σ = 7990155264. Its totient is φ = 1239120000.

The previous prime is 3201121999. The next prime is 3201122011. The reversal of 3201122000 is 2211023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36185 + ... + 87815.

Almost surely, 2^3201122000 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 3201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995077632).

3201122000 is an abundant number, since it is smaller than the sum of its proper divisors (4789033264).

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

3201122000 is a wasteful number, since it uses less digits than its factorization.

3201122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51685 (or 51669 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3201122000 is about 56578.4587983801. The cubic root of 3201122000 is about 1473.7848078034.

Adding to 3201122000 its reverse (2211023), we get a palindrome (3203333023).

The spelling of 3201122000 in words is "three billion, two hundred one million, one hundred twenty-two thousand".