1123340400 has 720 divisors, whose sum is σ = 5014790144. Its totient is φ = 235146240.

The previous prime is 1123340389. The next prime is 1123340419. The reversal of 1123340400 is 40433211.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 8845137 + ... + 8845263.

Almost surely, 2^1123340400 is an apocalyptic number.

1123340400 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 1123340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507395072).

1123340400 is an abundant number, since it is smaller than the sum of its proper divisors (3891449744).

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

1123340400 is a wasteful number, since it uses less digits than its factorization.

1123340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1123340400 is about 33516.2706755987. The cubic root of 1123340400 is about 1039.5302365598.

Adding to 1123340400 its reverse (40433211), we get a palindrome (1163773611).

The spelling of 1123340400 in words is "one billion, one hundred twenty-three million, three hundred forty thousand, four hundred".