3122322132000 has 192 divisors, whose sum is σ = 10230209877888. Its totient is φ = 832498560000.

The previous prime is 3122322131927. The next prime is 3122322132001. The reversal of 3122322132000 is 2312232213.

It is a happy number.

3122322132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3122322132001) 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, 109077690 + ... + 109106310.

It is an arithmetic number, because the mean of its divisors is an integer number (53282343114).

Almost surely, 2^{3122322132000} is an apocalyptic number.

3122322132000 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 3122322132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115104938944).

3122322132000 is an abundant number, since it is smaller than the sum of its proper divisors (7107887745888).

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

3122322132000 is a wasteful number, since it uses less digits than its factorization.

3122322132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37740 (or 37722 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3122322132000 its reverse (2312232213), we get a palindrome (3124634364213).

The spelling of 3122322132000 in words is "three trillion, one hundred twenty-two billion, three hundred twenty-two million, one hundred thirty-two thousand".