11012120120 has 64 divisors (see below), whose sum is σ = 25689960000. Its totient is φ = 4243283968.

The previous prime is 11012120087. The next prime is 11012120167. The reversal of 11012120120 is 2102121011.

11012120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510269 + ... + 531411.

It is an arithmetic number, because the mean of its divisors is an integer number (401405625).

Almost surely, 2^11012120120 is an apocalyptic number.

11012120120 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 11012120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844980000).

11012120120 is an abundant number, since it is smaller than the sum of its proper divisors (14677839880).

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

11012120120 is a wasteful number, since it uses less digits than its factorization.

11012120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21632 (or 21628 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11012120120 its reverse (2102121011), we get a palindrome (13114241131).

The spelling of 11012120120 in words is "eleven billion, twelve million, one hundred twenty thousand, one hundred twenty".