31322122000 has 120 divisors (see below), whose sum is σ = 82011837960. Its totient is φ = 11564966400.

The previous prime is 31322121997. The next prime is 31322122001. The reversal of 31322122000 is 22122313.

It can be written as a sum of positive squares in 12 ways, for example, as 31270970896 + 51151104 = 176836^2 + 7152^2 .

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 (31322122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291666 + ... + 384334.

It is an arithmetic number, because the mean of its divisors is an integer number (683431983).

Almost surely, 2^31322122000 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 31322122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41005918980).

31322122000 is an abundant number, since it is smaller than the sum of its proper divisors (50689715960).

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

31322122000 is a wasteful number, since it uses less digits than its factorization.

31322122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92718 (or 92689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31322122000 its reverse (22122313), we get a palindrome (31344244313).

The spelling of 31322122000 in words is "thirty-one billion, three hundred twenty-two million, one hundred twenty-two thousand".