130221200268 has 144 divisors (see below), whose sum is σ = 369117665280. Its totient is φ = 38493937152.

The previous prime is 130221200261. The next prime is 130221200269. The reversal of 130221200268 is 862002122031.

It is not an unprimeable number, because it can be changed into a prime (130221200261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874053 + ... + 1012131.

It is an arithmetic number, because the mean of its divisors is an integer number (2563317120).

Almost surely, 2^130221200268 is an apocalyptic number.

130221200268 is a gapful number since it is divisible by the number (18) 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 130221200268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184558832640).

130221200268 is an abundant number, since it is smaller than the sum of its proper divisors (238896465012).

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

130221200268 is a wasteful number, since it uses less digits than its factorization.

130221200268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138196 (or 138191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 130221200268 its reverse (862002122031), we get a palindrome (992223322299).

The spelling of 130221200268 in words is "one hundred thirty billion, two hundred twenty-one million, two hundred thousand, two hundred sixty-eight".