11110121121220 has 288 divisors, whose sum is σ = 26216736708960. Its totient is φ = 3951230976000.

The previous prime is 11110121121199. The next prime is 11110121121221. The reversal of 11110121121220 is 2212112101111.

It can be written as a sum of positive squares in 16 ways, for example, as 8280075310144 + 2830045811076 = 2877512^2 + 1682274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11110121121194 and 11110121121203.

It is not an unprimeable number, because it can be changed into a prime (11110121121221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11959225716 + ... + 11959226644.

It is an arithmetic number, because the mean of its divisors is an integer number (91030335795).

Almost surely, 2^{11110121121220} is an apocalyptic number.

11110121121220 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 11110121121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108368354480).

11110121121220 is an abundant number, since it is smaller than the sum of its proper divisors (15106615587740).

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

11110121121220 is a wasteful number, since it uses less digits than its factorization.

11110121121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1594 counting only the distinct ones).

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

Adding to 11110121121220 its reverse (2212112101111), we get a palindrome (13322233222331).

The spelling of 11110121121220 in words is "eleven trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".