11120210221120 has 336 divisors, whose sum is σ = 35748929881728. Its totient is φ = 3199419924480.

The previous prime is 11120210221103. The next prime is 11120210221163. The reversal of 11120210221120 is 2112201202111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11120210221094 and 11120210221103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828932 + ... + 5499388.

It is an arithmetic number, because the mean of its divisors is an integer number (106395624648).

Almost surely, 2^{11120210221120} is an apocalyptic number.

11120210221120 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 11120210221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874464940864).

11120210221120 is an abundant number, since it is smaller than the sum of its proper divisors (24628719660608).

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

11120210221120 is a wasteful number, since it uses less digits than its factorization.

11120210221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670518 (or 2670495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11120210221120 its reverse (2112201202111), we get a palindrome (13232411423231).

The spelling of 11120210221120 in words is "eleven trillion, one hundred twenty billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".