1116007120 has 20 divisors (see below), whose sum is σ = 2594716740. Its totient is φ = 446402816.

The previous prime is 1116007103. The next prime is 1116007129. The reversal of 1116007120 is 217006111.

It can be written as a sum of positive squares in 2 ways, for example, as 743980176 + 372026944 = 27276^2 + 19288^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116007129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6974965 + ... + 6975124.

It is an arithmetic number, because the mean of its divisors is an integer number (129735837).

Almost surely, 2^1116007120 is an apocalyptic number.

1116007120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1116007120 is an abundant number, since it is smaller than the sum of its proper divisors (1478709620).

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

1116007120 is a wasteful number, since it uses less digits than its factorization.

1116007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13950102 (or 13950096 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 1116007120 is about 33406.6927426227. The cubic root of 1116007120 is about 1037.2632434071.

The spelling of 1116007120 in words is "one billion, one hundred sixteen million, seven thousand, one hundred twenty".