11216121600 has 216 divisors, whose sum is σ = 37572317440. Its totient is φ = 2945986560.

The previous prime is 11216121593. The next prime is 11216121607. The reversal of 11216121600 is 612161211.

It is an interprime number because it is at equal distance from previous prime (11216121593) and next prime (11216121607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11216121607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282041 + ... + 1290759.

Almost surely, 2^11216121600 is an apocalyptic number.

11216121600 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 11216121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786158720).

11216121600 is an abundant number, since it is smaller than the sum of its proper divisors (26356195840).

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

11216121600 is an equidigital number, since it uses as much as digits as its factorization.

11216121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11216121600 its reverse (612161211), we get a palindrome (11828282811).

The spelling of 11216121600 in words is "eleven billion, two hundred sixteen million, one hundred twenty-one thousand, six hundred".