11121211301200 has 720 divisors, whose sum is σ = 36759346001280. Its totient is φ = 3145403289600.

The previous prime is 11121211301159. The next prime is 11121211301231. The reversal of 11121211301200 is 210311212111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259838202 + ... + 259880998.

It is an arithmetic number, because the mean of its divisors is an integer number (51054647224).

Almost surely, 2^{11121211301200} is an apocalyptic number.

11121211301200 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 11121211301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379673000640).

11121211301200 is an abundant number, since it is smaller than the sum of its proper divisors (25638134700080).

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

11121211301200 is a wasteful number, since it uses less digits than its factorization.

11121211301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42916 (or 42894 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11121211301200 its reverse (210311212111), we get a palindrome (11331522513311).

It can be divided in two parts, 11121211 and 301200, that added together give a palindrome (11422411).

The spelling of 11121211301200 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, three hundred one thousand, two hundred".