1115385120 has 384 divisors, whose sum is σ = 4180377600. Its totient is φ = 276950016.

The previous prime is 1115385107. The next prime is 1115385137. The reversal of 1115385120 is 215835111.

1115385120 is a `hidden beast` number, since 1 + 1 + 1 + 538 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8782497 + ... + 8782623.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2^1115385120 is an apocalyptic number.

1115385120 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 1115385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1115385120 is an abundant number, since it is smaller than the sum of its proper divisors (3064992480).

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

1115385120 is a wasteful number, since it uses less digits than its factorization.

1115385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1115385120 is about 33397.3819333193. The cubic root of 1115385120 is about 1037.0705034073.

The spelling of 1115385120 in words is "one billion, one hundred fifteen million, three hundred eighty-five thousand, one hundred twenty".