11001122120120 has 128 divisors (see below), whose sum is σ = 27090021024000. Its totient is φ = 3987487795200.

The previous prime is 11001122120111. The next prime is 11001122120123. The reversal of 11001122120120 is 2102122110011.

It is a junction number, because it is equal to n+sod(n) for n = 11001122120095 and 11001122120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001122120123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503680400 + ... + 503702240.

It is an arithmetic number, because the mean of its divisors is an integer number (211640789250).

Almost surely, 2^{11001122120120} is an apocalyptic number.

11001122120120 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 11001122120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545010512000).

11001122120120 is an abundant number, since it is smaller than the sum of its proper divisors (16088898903880).

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

11001122120120 is a wasteful number, since it uses less digits than its factorization.

11001122120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25509 (or 25505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11001122120120 its reverse (2102122110011), we get a palindrome (13103244230131).

The spelling of 11001122120120 in words is "eleven trillion, one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".