11111022112120 has 768 divisors, whose sum is σ = 31977348480000. Its totient is φ = 3391002869760.

The previous prime is 11111022112111. The next prime is 11111022112129. The reversal of 11111022112120 is 2121122011111.

It is an interprime number because it is at equal distance from previous prime (11111022112111) and next prime (11111022112129).

It is a junction number, because it is equal to n+sod(n) for n = 11111022112094 and 11111022112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111022112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101935982626 + ... + 101935982734.

It is an arithmetic number, because the mean of its divisors is an integer number (41637172500).

Almost surely, 2^{11111022112120} is an apocalyptic number.

11111022112120 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 11111022112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988674240000).

11111022112120 is an abundant number, since it is smaller than the sum of its proper divisors (20866326367880).

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

11111022112120 is a wasteful number, since it uses less digits than its factorization.

11111022112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 331 counting only the distinct ones).

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

Adding to 11111022112120 its reverse (2121122011111), we get a palindrome (13232144123231).

The spelling of 11111022112120 in words is "eleven trillion, one hundred eleven billion, twenty-two million, one hundred twelve thousand, one hundred twenty".