11210112220120 has 256 divisors, whose sum is σ = 28504315238400. Its totient is φ = 3932712960000.

The previous prime is 11210112220033. The next prime is 11210112220123. The reversal of 11210112220120 is 2102221101211.

It is a junction number, because it is equal to n+sod(n) for n = 11210112220094 and 11210112220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210112220123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609202920 + ... + 609221320.

It is an arithmetic number, because the mean of its divisors is an integer number (111344981400).

Almost surely, 2^{11210112220120} is an apocalyptic number.

11210112220120 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 11210112220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252157619200).

11210112220120 is an abundant number, since it is smaller than the sum of its proper divisors (17294203018280).

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

11210112220120 is a wasteful number, since it uses less digits than its factorization.

11210112220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18890 (or 18886 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11210112220120 its reverse (2102221101211), we get a palindrome (13312333321331).

The spelling of 11210112220120 in words is "eleven trillion, two hundred ten billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".