11122220222120 has 192 divisors, whose sum is σ = 30534023520000. Its totient is φ = 3570978521088.

The previous prime is 11122220222117. The next prime is 11122220222219. The reversal of 11122220222120 is 2122202222111.

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 = 11122220222092 and 11122220222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15757736 + ... + 16448424.

It is an arithmetic number, because the mean of its divisors is an integer number (159031372500).

Almost surely, 2^{11122220222120} is an apocalyptic number.

11122220222120 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 11122220222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267011760000).

11122220222120 is an abundant number, since it is smaller than the sum of its proper divisors (19411803297880).

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

11122220222120 is a wasteful number, since it uses less digits than its factorization.

11122220222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690940 (or 690919 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11122220222120 its reverse (2122202222111), we get a palindrome (13244422444231).

Subtracting from 11122220222120 its reverse (2122202222111), we obtain a square (9000018000009 = 3000003²).

The spelling of 11122220222120 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twenty".