13200013222220 has 192 divisors, whose sum is σ = 30740212685952. Its totient is φ = 4721310720000.

The previous prime is 13200013222169. The next prime is 13200013222259. The reversal of 13200013222220 is 2222231000231.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13200013222192 and 13200013222201.

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 63 ways as a sum of consecutive naturals, for example, 3593794304 + ... + 3593797976.

It is an arithmetic number, because the mean of its divisors is an integer number (160105274406).

Almost surely, 2^{13200013222220} is an apocalyptic number.

13200013222220 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 13200013222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15370106342976).

13200013222220 is an abundant number, since it is smaller than the sum of its proper divisors (17540199463732).

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

13200013222220 is a wasteful number, since it uses less digits than its factorization.

13200013222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13200013222220 its reverse (2222231000231), we get a palindrome (15422244222451).

The spelling of 13200013222220 in words is "thirteen trillion, two hundred billion, thirteen million, two hundred twenty-two thousand, two hundred twenty".