11200221134040 has 256 divisors, whose sum is σ = 34446908620800. Its totient is φ = 2912008246784.

The previous prime is 11200221134029. The next prime is 11200221134041. The reversal of 11200221134040 is 4043112200211.

It is a junction number, because it is equal to n+sod(n) for n = 11200221133998 and 11200221134016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200221134041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2476279219 + ... + 2476283741.

It is an arithmetic number, because the mean of its divisors is an integer number (134558236800).

Almost surely, 2^{11200221134040} is an apocalyptic number.

11200221134040 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 11200221134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17223454310400).

11200221134040 is an abundant number, since it is smaller than the sum of its proper divisors (23246687486760).

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

11200221134040 is a wasteful number, since it uses less digits than its factorization.

11200221134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11200221134040 its reverse (4043112200211), we get a palindrome (15243333334251).

The spelling of 11200221134040 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, one hundred thirty-four thousand, forty".