1123333200 has 360 divisors, whose sum is σ = 4479490080. Its totient is φ = 257817600.

The previous prime is 1123333177. The next prime is 1123333207. The reversal of 1123333200 is 23333211.

1123333200 is a `hidden beast` number, since 1 + 12 + 333 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123333207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 751654 + ... + 753146.

It is an arithmetic number, because the mean of its divisors is an integer number (12443028).

Almost surely, 2^1123333200 is an apocalyptic number.

1123333200 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 1123333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239745040).

1123333200 is an abundant number, since it is smaller than the sum of its proper divisors (3356156880).

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

1123333200 is a wasteful number, since it uses less digits than its factorization.

1123333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1123333200 is about 33516.1632649085. The cubic root of 1123333200 is about 1039.5280156142.

Adding to 1123333200 its reverse (23333211), we get a palindrome (1146666411).

The spelling of 1123333200 in words is "one billion, one hundred twenty-three million, three hundred thirty-three thousand, two hundred".