11331211122220 has 192 divisors, whose sum is σ = 27449566986240. Its totient is φ = 3888667411200.

The previous prime is 11331211122199. The next prime is 11331211122251. The reversal of 11331211122220 is 2222111213311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11331211122191 and 11331211122200.

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, 616789635 + ... + 616808005.

It is an arithmetic number, because the mean of its divisors is an integer number (142966494720).

Almost surely, 2^{11331211122220} is an apocalyptic number.

11331211122220 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 11331211122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724783493120).

11331211122220 is an abundant number, since it is smaller than the sum of its proper divisors (16118355864020).

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

11331211122220 is a wasteful number, since it uses less digits than its factorization.

11331211122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20036 (or 20034 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11331211122220 its reverse (2222111213311), we get a palindrome (13553322335531).

The spelling of 11331211122220 in words is "eleven trillion, three hundred thirty-one billion, two hundred eleven million, one hundred twenty-two thousand, two hundred twenty".