11032124411000 has 512 divisors, whose sum is σ = 33326138327040. Its totient is φ = 3317371200000.

The previous prime is 11032124410889. The next prime is 11032124411003. The reversal of 11032124411000 is 11442123011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032124411003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 790090019 + ... + 790103981.

It is an arithmetic number, because the mean of its divisors is an integer number (65090113920).

Almost surely, 2^{11032124411000} is an apocalyptic number.

11032124411000 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 11032124411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663069163520).

11032124411000 is an abundant number, since it is smaller than the sum of its proper divisors (22294013916040).

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

11032124411000 is a wasteful number, since it uses less digits than its factorization.

11032124411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14364 (or 14350 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11032124411000 its reverse (11442123011), we get a palindrome (11043566534011).

The spelling of 11032124411000 in words is "eleven trillion, thirty-two billion, one hundred twenty-four million, four hundred eleven thousand".