11121475200 has 768 divisors, whose sum is σ = 44075750400. Its totient is φ = 2433024000.

The previous prime is 11121475163. The next prime is 11121475201. The reversal of 11121475200 is 257412111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11121475201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46147080 + ... + 46147320.

It is an arithmetic number, because the mean of its divisors is an integer number (57390300).

Almost surely, 2^11121475200 is an apocalyptic number.

11121475200 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 11121475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037875200).

11121475200 is an abundant number, since it is smaller than the sum of its proper divisors (32954275200).

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

11121475200 is a wasteful number, since it uses less digits than its factorization.

11121475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

Adding to 11121475200 its reverse (257412111), we get a palindrome (11378887311).

The spelling of 11121475200 in words is "eleven billion, one hundred twenty-one million, four hundred seventy-five thousand, two hundred".