11124011140200 has 384 divisors, whose sum is σ = 43857535795200. Its totient is φ = 2538695658240.

The previous prime is 11124011140181. The next prime is 11124011140201. The reversal of 11124011140200 is 204111042111.

11124011140200 is a `hidden beast` number, since 1 + 1 + 12 + 401 + 11 + 40 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11124011140201) 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, 24229177 + ... + 24684023.

It is an arithmetic number, because the mean of its divisors is an integer number (114212332800).

Almost surely, 2^{11124011140200} is an apocalyptic number.

11124011140200 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 11124011140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21928767897600).

11124011140200 is an abundant number, since it is smaller than the sum of its proper divisors (32733524655000).

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

11124011140200 is a wasteful number, since it uses less digits than its factorization.

11124011140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455526 (or 455511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11124011140200 its reverse (204111042111), we get a palindrome (11328122182311).

The spelling of 11124011140200 in words is "eleven trillion, one hundred twenty-four billion, eleven million, one hundred forty thousand, two hundred".