11122011120120 has 256 divisors, whose sum is σ = 34273740211200. Its totient is φ = 2886587658240.

The previous prime is 11122011120119. The next prime is 11122011120151. The reversal of 11122011120120 is 2102111022111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122011120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179382325 + ... + 179444315.

It is an arithmetic number, because the mean of its divisors is an integer number (133881797700).

Almost surely, 2^{11122011120120} is an apocalyptic number.

11122011120120 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 11122011120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136870105600).

11122011120120 is an abundant number, since it is smaller than the sum of its proper divisors (23151729091080).

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

11122011120120 is a wasteful number, since it uses less digits than its factorization.

11122011120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62358 (or 62354 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11122011120120 its reverse (2102111022111), we get a palindrome (13224122142231).

The spelling of 11122011120120 in words is "eleven trillion, one hundred twenty-two billion, eleven million, one hundred twenty thousand, one hundred twenty".