11121141216120 has 256 divisors, whose sum is σ = 36024694755840. Its totient is φ = 2730293250048.

The previous prime is 11121141216041. The next prime is 11121141216121. The reversal of 11121141216120 is 2161214112111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121141216121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217683074 + ... + 1217692206.

It is an arithmetic number, because the mean of its divisors is an integer number (140721463890).

Almost surely, 2^{11121141216120} is an apocalyptic number.

11121141216120 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 11121141216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012347377920).

11121141216120 is an abundant number, since it is smaller than the sum of its proper divisors (24903553539720).

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

11121141216120 is a wasteful number, since it uses less digits than its factorization.

11121141216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 24.

Adding to 11121141216120 its reverse (2161214112111), we get a palindrome (13282355328231).

The spelling of 11121141216120 in words is "eleven trillion, one hundred twenty-one billion, one hundred forty-one million, two hundred sixteen thousand, one hundred twenty".