1123389200 has 60 divisors (see below), whose sum is σ = 2704011828. Its totient is φ = 448512000.

The previous prime is 1123389199. The next prime is 1123389209. The reversal of 1123389200 is 29833211.

It can be written as a sum of positive squares in 6 ways, for example, as 121793296 + 1001595904 = 11036^2 + 31648^2 .

It is not an unprimeable number, because it can be changed into a prime (1123389209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238064 + ... + 242736.

Almost surely, 2^1123389200 is an apocalyptic number.

1123389200 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 1123389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352005914).

1123389200 is an abundant number, since it is smaller than the sum of its proper divisors (1580622628).

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

1123389200 is a wasteful number, since it uses less digits than its factorization.

1123389200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1123389200 is about 33516.9986723155. The cubic root of 1123389200 is about 1039.5452893853.

The spelling of 1123389200 in words is "one billion, one hundred twenty-three million, three hundred eighty-nine thousand, two hundred".