11123003311200 has 432 divisors, whose sum is σ = 44217778787280. Its totient is φ = 2696485017600.

The previous prime is 11123003311183. The next prime is 11123003311201. The reversal of 11123003311200 is 211330032111.

11123003311200 is a `hidden beast` number, since 1 + 1 + 12 + 300 + 331 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (11123003311201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485692 + ... + 4741508.

It is an arithmetic number, because the mean of its divisors is an integer number (102355969415).

Almost surely, 2^{11123003311200} is an apocalyptic number.

11123003311200 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 11123003311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22108889393640).

11123003311200 is an abundant number, since it is smaller than the sum of its proper divisors (33094775476080).

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

11123003311200 is a wasteful number, since it uses less digits than its factorization.

11123003311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255868 (or 4255838 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11123003311200 its reverse (211330032111), we get a palindrome (11334333343311).

The spelling of 11123003311200 in words is "eleven trillion, one hundred twenty-three billion, three million, three hundred eleven thousand, two hundred".