11222122211120 has 160 divisors (see below), whose sum is σ = 26616266539200. Its totient is φ = 4399272345600.

The previous prime is 11222122211089. The next prime is 11222122211123. The reversal of 11222122211120 is 2111222122211.

11222122211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11222122211092 and 11222122211101.

It is not an unprimeable number, because it can be changed into a prime (11222122211123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934512220 + ... + 1934518020.

It is an arithmetic number, because the mean of its divisors is an integer number (166351665870).

Almost surely, 2^{11222122211120} is an apocalyptic number.

11222122211120 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 11222122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308133269600).

11222122211120 is an abundant number, since it is smaller than the sum of its proper divisors (15394144328080).

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

11222122211120 is a wasteful number, since it uses less digits than its factorization.

11222122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11222122211120 its reverse (2111222122211), we get a palindrome (13333344333331).

The spelling of 11222122211120 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".