11020121122120 has 192 divisors, whose sum is σ = 27649945149120. Its totient is φ = 3919704960000.

The previous prime is 11020121122001. The next prime is 11020121122139. The reversal of 11020121122120 is 2122112102011.

It is a junction number, because it is equal to n+sod(n) for n = 11020121122094 and 11020121122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372525730 + ... + 372555310.

It is an arithmetic number, because the mean of its divisors is an integer number (144010130985).

Almost surely, 2^{11020121122120} is an apocalyptic number.

11020121122120 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 11020121122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824972574560).

11020121122120 is an abundant number, since it is smaller than the sum of its proper divisors (16629824027000).

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

11020121122120 is a wasteful number, since it uses less digits than its factorization.

11020121122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29888 (or 29783 counting only the distinct ones).

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

Adding to 11020121122120 its reverse (2122112102011), we get a palindrome (13142233224131).

The spelling of 11020121122120 in words is "eleven trillion, twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".