1123532400 has 120 divisors (see below), whose sum is σ = 3650016384. Its totient is φ = 295366400.

The previous prime is 1123532369. The next prime is 1123532401. The reversal of 1123532400 is 42353211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123532401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78607 + ... + 91793.

Almost surely, 2^1123532400 is an apocalyptic number.

1123532400 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 1123532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825008192).

1123532400 is an abundant number, since it is smaller than the sum of its proper divisors (2526483984).

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

1123532400 is a wasteful number, since it uses less digits than its factorization.

1123532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1123532400 is about 33519.1348337036. The cubic root of 1123532400 is about 1039.5894582749.

Adding to 1123532400 its reverse (42353211), we get a palindrome (1165885611).

The spelling of 1123532400 in words is "one billion, one hundred twenty-three million, five hundred thirty-two thousand, four hundred".