11222222122120 has 128 divisors (see below), whose sum is σ = 25996451078880. Its totient is φ = 4358016000000.

The previous prime is 11222222122091. The next prime is 11222222122147. The reversal of 11222222122120 is 2122122222211.

It can be written as a sum of positive squares in 16 ways, for example, as 335271108676 + 10886951013444 = 579026^2 + 3299538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11222222122091 and 11222222122100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385615570 + ... + 385644670.

Almost surely, 2^{11222222122120} is an apocalyptic number.

11222222122120 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 11222222122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12998225539440).

11222222122120 is an abundant number, since it is smaller than the sum of its proper divisors (14774228956760).

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

11222222122120 is a wasteful number, since it uses less digits than its factorization.

11222222122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31067 (or 31063 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11222222122120 its reverse (2122122222211), we get a palindrome (13344344344331).

The spelling of 11222222122120 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".