1121112120 has 128 divisors (see below), whose sum is σ = 3419807040. Its totient is φ = 293990400.

The previous prime is 1121112101. The next prime is 1121112133. The reversal of 1121112120 is 212111211.

It is a super-2 number, since 2×1121112120² = 2513784771221788800, which contains 22 as substring.

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 = 1121112096 and 1121112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823762 + ... + 2824158.

Almost surely, 2^1121112120 is an apocalyptic number.

1121112120 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 1121112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709903520).

1121112120 is an abundant number, since it is smaller than the sum of its proper divisors (2298694920).

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

1121112120 is a wasteful number, since it uses less digits than its factorization.

1121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1121112120 is about 33483.0124092800. The cubic root of 1121112120 is about 1038.8424374086.

Adding to 1121112120 its reverse (212111211), we get a palindrome (1333223331).

Subtracting from 1121112120 its reverse (212111211), we obtain a palindrome (909000909).

The spelling of 1121112120 in words is "one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".