1121541120 has 704 divisors, whose sum is σ = 4873497600. Its totient is φ = 238878720.

The previous prime is 1121541103. The next prime is 1121541131. The reversal of 1121541120 is 211451211.

1121541120 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 541 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121541093 and 1121541102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18385890 + ... + 18385950.

Almost surely, 2^1121541120 is an apocalyptic number.

1121541120 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 1121541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436748800).

1121541120 is an abundant number, since it is smaller than the sum of its proper divisors (3751956480).

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

1121541120 is a wasteful number, since it uses less digits than its factorization.

1121541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1121541120 is about 33489.4180301778. The cubic root of 1121541120 is about 1038.9749268551.

Adding to 1121541120 its reverse (211451211), we get a palindrome (1332992331).

The spelling of 1121541120 in words is "one billion, one hundred twenty-one million, five hundred forty-one thousand, one hundred twenty".