1123110144 has 288 divisors, whose sum is σ = 3708633600. Its totient is φ = 332881920.

The previous prime is 1123110143. The next prime is 1123110179. The reversal of 1123110144 is 4410113211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1123110144² = 2522752791111401472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123110143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2605609 + ... + 2606039.

It is an arithmetic number, because the mean of its divisors is an integer number (12877200).

Almost surely, 2^1123110144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854316800).

1123110144 is an abundant number, since it is smaller than the sum of its proper divisors (2585523456).

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

1123110144 is a wasteful number, since it uses less digits than its factorization.

1123110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1123110144 is about 33512.8355111888. The cubic root of 1123110144 is about 1039.4592060185.

Adding to 1123110144 its reverse (4410113211), we get a palindrome (5533223355).

The spelling of 1123110144 in words is "one billion, one hundred twenty-three million, one hundred ten thousand, one hundred forty-four".