11123123354200 has 576 divisors, whose sum is σ = 31126957434720. Its totient is φ = 3643960320000.

The previous prime is 11123123354191. The next prime is 11123123354207. The reversal of 11123123354200 is 245332132111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123123354207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18027752292 + ... + 18027752908.

Almost surely, 2^{11123123354200} is an apocalyptic number.

11123123354200 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 11123123354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563478717360).

11123123354200 is an abundant number, since it is smaller than the sum of its proper divisors (20003834080520).

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

11123123354200 is a wasteful number, since it uses less digits than its factorization.

11123123354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 11123123354200 its reverse (245332132111), we get a palindrome (11368455486311).

The spelling of 11123123354200 in words is "eleven trillion, one hundred twenty-three billion, one hundred twenty-three million, three hundred fifty-four thousand, two hundred".