1121110211120 has 180 divisors, whose sum is σ = 2738953133280. Its totient is φ = 426754828800.

The previous prime is 1121110211071. The next prime is 1121110211141. The reversal of 1121110211120 is 211120111211.

It is a junction number, because it is equal to n+sod(n) for n = 1121110211095 and 1121110211104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 286068521 + ... + 286072439.

It is an arithmetic number, because the mean of its divisors is an integer number (15216406296).

Almost surely, 2^{1121110211120} is an apocalyptic number.

1121110211120 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 1121110211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369476566640).

1121110211120 is an abundant number, since it is smaller than the sum of its proper divisors (1617842922160).

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

1121110211120 is an equidigital number, since it uses as much as digits as its factorization.

1121110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1121110211120 its reverse (211120111211), we get a palindrome (1332230322331).

Subtracting from 1121110211120 its reverse (211120111211), we obtain a palindrome (909990099909).

The spelling of 1121110211120 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".