13220122000 has 80 divisors (see below), whose sum is σ = 32746122864. Its totient is φ = 5159040000.

The previous prime is 13220121991. The next prime is 13220122001. The reversal of 13220122000 is 22102231.

13220122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6575263744 + 6644858256 = 81088^2 + 81516^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13220122001) 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 15 ways as a sum of consecutive naturals, for example, 1390 + ... + 162610.

Almost surely, 2^13220122000 is an apocalyptic number.

13220122000 is a gapful number since it is divisible by the number (10) 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 13220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373061432).

13220122000 is an abundant number, since it is smaller than the sum of its proper divisors (19526000864).

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

13220122000 is a wasteful number, since it uses less digits than its factorization.

13220122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161285 (or 161269 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13220122000 its reverse (22102231), we get a palindrome (13242224231).

The spelling of 13220122000 in words is "thirteen billion, two hundred twenty million, one hundred twenty-two thousand".