1123313040 has 120 divisors (see below), whose sum is σ = 3780581688. Its totient is φ = 298905600.

The previous prime is 1123313027. The next prime is 1123313083. The reversal of 1123313040 is 403133211.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 1115292816 = 2832^2 + 33396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399640 + ... + 402440.

Almost surely, 2^1123313040 is an apocalyptic number.

1123313040 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 1123313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890290844).

1123313040 is an abundant number, since it is smaller than the sum of its proper divisors (2657268648).

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

1123313040 is a wasteful number, since it uses less digits than its factorization.

1123313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1123313040 is about 33515.8625131444. The cubic root of 1123313040 is about 1039.5217969161.

Adding to 1123313040 its reverse (403133211), we get a palindrome (1526446251).

The spelling of 1123313040 in words is "one billion, one hundred twenty-three million, three hundred thirteen thousand, forty".