1123005600 has 144 divisors (see below), whose sum is σ = 4061615040. Its totient is φ = 299462400.

The previous prime is 1123005589. The next prime is 1123005617. The reversal of 1123005600 is 65003211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1123005600² = 2522283155262720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4396 + ... + 47595.

It is an arithmetic number, because the mean of its divisors is an integer number (28205660).

Almost surely, 2^1123005600 is an apocalyptic number.

1123005600 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 1123005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030807520).

1123005600 is an abundant number, since it is smaller than the sum of its proper divisors (2938609440).

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

1123005600 is a wasteful number, since it uses less digits than its factorization.

1123005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52020 (or 52001 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1123005600 is about 33511.2757143025. The cubic root of 1123005600 is about 1039.4269525493.

Adding to 1123005600 its reverse (65003211), we get a palindrome (1188008811).

The spelling of 1123005600 in words is "one billion, one hundred twenty-three million, five thousand, six hundred".