11121211101120 has 224 divisors, whose sum is σ = 36873734492160. Its totient is φ = 2834506752000.

The previous prime is 11121211101071. The next prime is 11121211101193. The reversal of 11121211101120 is 2110111212111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11121211101120.

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 31 ways as a sum of consecutive naturals, for example, 28265745 + ... + 28656495.

Almost surely, 2^{11121211101120} is an apocalyptic number.

11121211101120 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 11121211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436867246080).

11121211101120 is an abundant number, since it is smaller than the sum of its proper divisors (25752523391040).

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

11121211101120 is a wasteful number, since it uses less digits than its factorization.

11121211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392083 (or 392073 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11121211101120 its reverse (2110111212111), we get a palindrome (13231322313231).

The spelling of 11121211101120 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, one hundred one thousand, one hundred twenty".