11012211011200 has 192 divisors, whose sum is σ = 31199707465920. Its totient is φ = 3762271641600.

The previous prime is 11012211011183. The next prime is 11012211011201. The reversal of 11012211011200 is 211011221011.

It is a happy number.

11012211011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11012211011201) 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, 5470620 + ... + 7207780.

It is an arithmetic number, because the mean of its divisors is an integer number (162498476385).

Almost surely, 2^{11012211011200} is an apocalyptic number.

11012211011200 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 11012211011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599853732960).

11012211011200 is an abundant number, since it is smaller than the sum of its proper divisors (20187496454720).

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

11012211011200 is a wasteful number, since it uses less digits than its factorization.

11012211011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737475 (or 1737458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11012211011200 its reverse (211011221011), we get a palindrome (11223222232211).

The spelling of 11012211011200 in words is "eleven trillion, twelve billion, two hundred eleven million, eleven thousand, two hundred".