322011122000 has 80 divisors (see below), whose sum is σ = 779318014800. Its totient is φ = 128689459200.

The previous prime is 322011121967. The next prime is 322011122009. The reversal of 322011122000 is 221110223.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 111975898384 + 210035223616 = 334628^2 + 458296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322011122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2186696 + ... + 2329304.

It is an arithmetic number, because the mean of its divisors is an integer number (9741475185).

Almost surely, 2^322011122000 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 322011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389659007400).

322011122000 is an abundant number, since it is smaller than the sum of its proper divisors (457306892800).

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

322011122000 is a wasteful number, since it uses less digits than its factorization.

322011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143761 (or 143745 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 322011122000 its reverse (221110223), we get a palindrome (322232232223).

The spelling of 322011122000 in words is "three hundred twenty-two billion, eleven million, one hundred twenty-two thousand".