13220221032240 has 640 divisors, whose sum is σ = 46259867750400. Its totient is φ = 3103512330240.

The previous prime is 13220221032233. The next prime is 13220221032283. The reversal of 13220221032240 is 4223012202231.

It is a super-2 number, since 2×13220221032240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13220221032240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2373892176 + ... + 2373897744.

It is an arithmetic number, because the mean of its divisors is an integer number (72281043360).

Almost surely, 2^{13220221032240} is an apocalyptic number.

13220221032240 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 13220221032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23129933875200).

13220221032240 is an abundant number, since it is smaller than the sum of its proper divisors (33039646718160).

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

13220221032240 is a wasteful number, since it uses less digits than its factorization.

13220221032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13220221032240 its reverse (4223012202231), we get a palindrome (17443233234471).

The spelling of 13220221032240 in words is "thirteen trillion, two hundred twenty billion, two hundred twenty-one million, thirty-two thousand, two hundred forty".