11211110211200 has 384 divisors, whose sum is σ = 29252410761600. Its totient is φ = 4237223936000.

The previous prime is 11211110211151. The next prime is 11211110211227. The reversal of 11211110211200 is 211201111211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3783700919 + ... + 3783703881.

It is an arithmetic number, because the mean of its divisors is an integer number (76178153025).

Almost surely, 2^{11211110211200} is an apocalyptic number.

11211110211200 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 11211110211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626205380800).

11211110211200 is an abundant number, since it is smaller than the sum of its proper divisors (18041300550400).

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

11211110211200 is a wasteful number, since it uses less digits than its factorization.

11211110211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11211110211200 its reverse (211201111211), we get a palindrome (11422311322411).

The spelling of 11211110211200 in words is "eleven trillion, two hundred eleven billion, one hundred ten million, two hundred eleven thousand, two hundred".