11200133104224 has 96 divisors (see below), whose sum is σ = 32768191370880. Its totient is φ = 3328832120832.

The previous prime is 11200133104211. The next prime is 11200133104229. The reversal of 11200133104224 is 42240133100211.

11200133104224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 11200133104194 and 11200133104203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200133104229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180569694 + ... + 180631709.

It is an arithmetic number, because the mean of its divisors is an integer number (341335326780).

Almost surely, 2^{11200133104224} is an apocalyptic number.

It is an amenable number.

11200133104224 is an abundant number, since it is smaller than the sum of its proper divisors (21568058266656).

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

11200133104224 is a wasteful number, since it uses less digits than its factorization.

11200133104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361201452 (or 361201444 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11200133104224 its reverse (42240133100211), we get a palindrome (53440266204435).

The spelling of 11200133104224 in words is "eleven trillion, two hundred billion, one hundred thirty-three million, one hundred four thousand, two hundred twenty-four".