1123252200 has 288 divisors, whose sum is σ = 4340793600. Its totient is φ = 254983680.

The previous prime is 1123252181. The next prime is 1123252289. The reversal of 1123252200 is 22523211.

1123252200 is a `hidden beast` number, since 112 + 32 + 522 + 0 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3011214 + ... + 3011586.

It is an arithmetic number, because the mean of its divisors is an integer number (15072200).

Almost surely, 2^1123252200 is an apocalyptic number.

1123252200 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 1123252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170396800).

1123252200 is an abundant number, since it is smaller than the sum of its proper divisors (3217541400).

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

1123252200 is a wasteful number, since it uses less digits than its factorization.

1123252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1123252200 is about 33514.9548709229. The cubic root of 1123252200 is about 1039.5030293225.

Adding to 1123252200 its reverse (22523211), we get a palindrome (1145775411).

The spelling of 1123252200 in words is "one billion, one hundred twenty-three million, two hundred fifty-two thousand, two hundred".