1123379200 has 144 divisors (see below), whose sum is σ = 2865402540. Its totient is φ = 436469760.

The previous prime is 1123379183. The next prime is 1123379207. The reversal of 1123379200 is 29733211.

It can be written as a sum of positive squares in 6 ways, for example, as 720815104 + 402564096 = 26848^2 + 20064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123379207) 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 11 ways as a sum of consecutive naturals, for example, 1894104 + ... + 1894696.

Almost surely, 2^1123379200 is an apocalyptic number.

1123379200 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 1123379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432701270).

1123379200 is an abundant number, since it is smaller than the sum of its proper divisors (1742023340).

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

1123379200 is an equidigital number, since it uses as much as digits as its factorization.

1123379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 1123379200 is about 33516.8494939486. The cubic root of 1123379200 is about 1039.5422048254.

The spelling of 1123379200 in words is "one billion, one hundred twenty-three million, three hundred seventy-nine thousand, two hundred".