11111121120 has 192 divisors, whose sum is σ = 40428170496. Its totient is φ = 2535137280.

The previous prime is 11111121041. The next prime is 11111121121. The reversal of 11111121120 is 2112111111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11111121096 and 11111121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111121121) 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, 27867 + ... + 151653.

It is an arithmetic number, because the mean of its divisors is an integer number (210563388).

Almost surely, 2^11111121120 is an apocalyptic number.

11111121120 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 11111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214085248).

11111121120 is an abundant number, since it is smaller than the sum of its proper divisors (29317049376).

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

11111121120 is a wasteful number, since it uses less digits than its factorization.

11111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123833 (or 123825 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111121120 its reverse (2112111111), we get a palindrome (13223232231).

It can be divided in two parts, 111111 and 21120, that added together give a palindrome (132231).

The spelling of 11111121120 in words is "eleven billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".