11222222101120 has 128 divisors (see below), whose sum is σ = 28252790280000. Its totient is φ = 4250725244928.

The previous prime is 11222222101099. The next prime is 11222222101133. The reversal of 11222222101120 is 2110122222211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27069156 + ... + 27480604.

Almost surely, 2^{11222222101120} is an apocalyptic number.

11222222101120 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 11222222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126395140000).

11222222101120 is an abundant number, since it is smaller than the sum of its proper divisors (17030568178880).

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

11222222101120 is a wasteful number, since it uses less digits than its factorization.

11222222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413730 (or 413718 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11222222101120 its reverse (2110122222211), we get a palindrome (13332344323331).

The spelling of 11222222101120 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".