1115712000 has 480 divisors, whose sum is σ = 4356752400. Its totient is φ = 272793600.

The previous prime is 1115711999. The next prime is 1115712019. The reversal of 1115712000 is 2175111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 59721984 + 1055990016 = 7728^2 + 32496^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7487926 + ... + 7488074.

Almost surely, 2^1115712000 is an apocalyptic number.

1115712000 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 1115712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178376200).

1115712000 is an abundant number, since it is smaller than the sum of its proper divisors (3241040400).

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

1115712000 is a wasteful number, since it uses less digits than its factorization.

1115712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 1115712000 is about 33402.2753715971. The cubic root of 1115712000 is about 1037.1718030957.

Adding to 1115712000 its reverse (2175111), we get a palindrome (1117887111).

The spelling of 1115712000 in words is "one billion, one hundred fifteen million, seven hundred twelve thousand".