11020110211200 has 192 divisors, whose sum is σ = 36299821975200. Its totient is φ = 2938507100160.

The previous prime is 11020110211163. The next prime is 11020110211207. The reversal of 11020110211200 is 211201102011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11020110211207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213795031 + ... + 213846569.

Almost surely, 2^{11020110211200} is an apocalyptic number.

11020110211200 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 11020110211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18149910987600).

11020110211200 is an abundant number, since it is smaller than the sum of its proper divisors (25279711764000).

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

11020110211200 is a wasteful number, since it uses less digits than its factorization.

11020110211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73839 (or 73822 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11020110211200 its reverse (211201102011), we get a palindrome (11231311313211).

The spelling of 11020110211200 in words is "eleven trillion, twenty billion, one hundred ten million, two hundred eleven thousand, two hundred".