13220242040000 has 280 divisors, whose sum is σ = 33026557243680. Its totient is φ = 5248786432000.

The previous prime is 13220242039999. The next prime is 13220242040053. The reversal of 13220242040000 is 4024202231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3082357856 + ... + 3082362144.

It is an arithmetic number, because the mean of its divisors is an integer number (117951990156).

Almost surely, 2^{13220242040000} is an apocalyptic number.

13220242040000 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 13220242040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513278621840).

13220242040000 is an abundant number, since it is smaller than the sum of its proper divisors (19806315203680).

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

13220242040000 is an equidigital number, since it uses as much as digits as its factorization.

13220242040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13220242040000 its reverse (4024202231), we get a palindrome (13224266242231).

The spelling of 13220242040000 in words is "thirteen trillion, two hundred twenty billion, two hundred forty-two million, forty thousand".