11100000211200 has 324 divisors, whose sum is σ = 40357645539120. Its totient is φ = 2909829672960.

The previous prime is 11100000211199. The next prime is 11100000211241. The reversal of 11100000211200 is 211200000111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1765279 + ... + 5031521.

It is an arithmetic number, because the mean of its divisors is an integer number (124560634380).

Almost surely, 2^{11100000211200} is an apocalyptic number.

11100000211200 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 11100000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20178822769560).

11100000211200 is an abundant number, since it is smaller than the sum of its proper divisors (29257645327920).

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

11100000211200 is a wasteful number, since it uses less digits than its factorization.

11100000211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266334 (or 3266312 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100000211200 its reverse (211200000111), we get a palindrome (11311200211311).

The spelling of 11100000211200 in words is "eleven trillion, one hundred billion, two hundred eleven thousand, two hundred".