1111112122120 has 512 divisors, whose sum is σ = 3499626332160. Its totient is φ = 306270720000.

The previous prime is 1111112122117. The next prime is 1111112122121. The reversal of 1111112122120 is 212212111111.

It is a junction number, because it is equal to n+sod(n) for n = 1111112122094 and 1111112122103.

It is not an unprimeable number, because it can be changed into a prime (1111112122121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 125360809 + ... + 125369671.

It is an arithmetic number, because the mean of its divisors is an integer number (6835207680).

Almost surely, 2^{1111112122120} is an apocalyptic number.

1111112122120 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 1111112122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749813166080).

1111112122120 is an abundant number, since it is smaller than the sum of its proper divisors (2388514210040).

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

1111112122120 is a wasteful number, since it uses less digits than its factorization.

1111112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9033 counting only the distinct ones).

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

Adding to 1111112122120 its reverse (212212111111), we get a palindrome (1323324233231).

The spelling of 1111112122120 in words is "one trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".