11011211200220 has 384 divisors, whose sum is σ = 29566107648000. Its totient is φ = 3345515136000.

The previous prime is 11011211200211. The next prime is 11011211200261. The reversal of 11011211200220 is 2200211211011.

11011211200220 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 11011211200195 and 11011211200204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5508358781 + ... + 5508360779.

It is an arithmetic number, because the mean of its divisors is an integer number (76995072000).

Almost surely, 2^{11011211200220} is an apocalyptic number.

11011211200220 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 11011211200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783053824000).

11011211200220 is an abundant number, since it is smaller than the sum of its proper divisors (18554896447780).

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

11011211200220 is a wasteful number, since it uses less digits than its factorization.

11011211200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11011211200220 its reverse (2200211211011), we get a palindrome (13211422411231).

The spelling of 11011211200220 in words is "eleven trillion, eleven billion, two hundred eleven million, two hundred thousand, two hundred twenty".