11123132302200 has 192 divisors, whose sum is σ = 35326342719360. Its totient is φ = 2893679147520.

The previous prime is 11123132302171. The next prime is 11123132302213. The reversal of 11123132302200 is 220323132111.

11123132302200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21075942 + ... + 21597258.

It is an arithmetic number, because the mean of its divisors is an integer number (183991368330).

Almost surely, 2^{11123132302200} is an apocalyptic number.

11123132302200 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 11123132302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17663171359680).

11123132302200 is an abundant number, since it is smaller than the sum of its proper divisors (24203210417160).

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

11123132302200 is a wasteful number, since it uses less digits than its factorization.

11123132302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522206 (or 522197 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11123132302200 its reverse (220323132111), we get a palindrome (11343455434311).

The spelling of 11123132302200 in words is "eleven trillion, one hundred twenty-three billion, one hundred thirty-two million, three hundred two thousand, two hundred".