32013122000 has 80 divisors (see below), whose sum is σ = 78277914000. Its totient is φ = 12661299200.

The previous prime is 32013121999. The next prime is 32013122083. The reversal of 32013122000 is 22131023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21410712976 + 10602409024 = 146324^2 + 102968^2 .

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88076 + ... + 267924.

It is an arithmetic number, because the mean of its divisors is an integer number (978473925).

Almost surely, 2^32013122000 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 32013122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39138957000).

32013122000 is an abundant number, since it is smaller than the sum of its proper divisors (46264792000).

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

32013122000 is a wasteful number, since it uses less digits than its factorization.

32013122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179961 (or 179945 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 32013122000 its reverse (22131023), we get a palindrome (32035253023).

It can be divided in two parts, 320 and 13122000, that multiplied together give a square (4199040000 = 64800²).

The spelling of 32013122000 in words is "thirty-two billion, thirteen million, one hundred twenty-two thousand".