1115261120 has 112 divisors (see below), whose sum is σ = 2806842240. Its totient is φ = 421392384.

The previous prime is 1115261117. The next prime is 1115261171. The reversal of 1115261120 is 211625111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1115261092 and 1115261101.

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 15 ways as a sum of consecutive naturals, for example, 434882 + ... + 437438.

Almost surely, 2^1115261120 is an apocalyptic number.

1115261120 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 1115261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403421120).

1115261120 is an abundant number, since it is smaller than the sum of its proper divisors (1691581120).

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

1115261120 is a wasteful number, since it uses less digits than its factorization.

1115261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 1115261120 is about 33395.5254487783. The cubic root of 1115261120 is about 1037.0320707900.

Adding to 1115261120 its reverse (211625111), we get a palindrome (1326886231).

The spelling of 1115261120 in words is "one billion, one hundred fifteen million, two hundred sixty-one thousand, one hundred twenty".