11011120120 has 128 divisors (see below), whose sum is σ = 33264483840. Its totient is φ = 3168023040.

The previous prime is 11011120079. The next prime is 11011120121. The reversal of 11011120120 is 2102111011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11011120097 and 11011120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011120121) 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, 97462 + ... + 177541.

It is an arithmetic number, because the mean of its divisors is an integer number (259878780).

Almost surely, 2^11011120120 is an apocalyptic number.

11011120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011120120 is an abundant number, since it is smaller than the sum of its proper divisors (22253363720).

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

11011120120 is a wasteful number, since it uses less digits than its factorization.

11011120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275045 (or 275041 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011120120 its reverse (2102111011), we get a palindrome (13113231131).

It can be divided in two parts, 11011 and 120120, that added together give a palindrome (131131).

The spelling of 11011120120 in words is "eleven billion, eleven million, one hundred twenty thousand, one hundred twenty".