11123222332200 has 384 divisors, whose sum is σ = 38737275477120. Its totient is φ = 2616603955200.

The previous prime is 11123222332129. The next prime is 11123222332207. The reversal of 11123222332200 is 223322232111.

11123222332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11123222332207) 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, 91025542 + ... + 91147658.

It is an arithmetic number, because the mean of its divisors is an integer number (100878321555).

Almost surely, 2^{11123222332200} is an apocalyptic number.

11123222332200 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 11123222332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368637738560).

11123222332200 is an abundant number, since it is smaller than the sum of its proper divisors (27614053144920).

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

11123222332200 is a wasteful number, since it uses less digits than its factorization.

11123222332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122557 (or 122548 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11123222332200 its reverse (223322232111), we get a palindrome (11346544564311).

The spelling of 11123222332200 in words is "eleven trillion, one hundred twenty-three billion, two hundred twenty-two million, three hundred thirty-two thousand, two hundred".