11110210121200 has 120 divisors (see below), whose sum is σ = 26747066204192. Its totient is φ = 4434971304960.

The previous prime is 11110210121167. The next prime is 11110210121201. The reversal of 11110210121200 is 212101201111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110210121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438138922 + ... + 438164278.

Almost surely, 2^{11110210121200} is an apocalyptic number.

11110210121200 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 11110210121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373533102096).

11110210121200 is an abundant number, since it is smaller than the sum of its proper divisors (15636856082992).

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

11110210121200 is a wasteful number, since it uses less digits than its factorization.

11110210121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27579 (or 27568 counting only the distinct ones).

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

Adding to 11110210121200 its reverse (212101201111), we get a palindrome (11322311322311).

The spelling of 11110210121200 in words is "eleven trillion, one hundred ten billion, two hundred ten million, one hundred twenty-one thousand, two hundred".