11208111600000 has 768 divisors, whose sum is σ = 44377869634560. Its totient is φ = 2450426880000.

The previous prime is 11208111599999. The next prime is 11208111600011. The reversal of 11208111600000 is 611180211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11208111600000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193170994 + ... + 193229006.

It is an arithmetic number, because the mean of its divisors is an integer number (57783684420).

Almost surely, 2^{11208111600000} is an apocalyptic number.

11208111600000 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 11208111600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22188934817280).

11208111600000 is an abundant number, since it is smaller than the sum of its proper divisors (33169758034560).

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

11208111600000 is an frugal number, since it uses more digits than its factorization.

11208111600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58085 (or 58053 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 11208111600000 its reverse (611180211), we get a palindrome (11208722780211).

The spelling of 11208111600000 in words is "eleven trillion, two hundred eight billion, one hundred eleven million, six hundred thousand".