11011111000120 has 128 divisors (see below), whose sum is σ = 31606644579840. Its totient is φ = 3352219799040.

The previous prime is 11011111000111. The next prime is 11011111000129. The reversal of 11011111000120 is 2100011111011.

It is an interprime number because it is at equal distance from previous prime (11011111000111) and next prime (11011111000129).

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 = 11011111000097 and 11011111000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111000129) 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, 41437747 + ... + 41702626.

It is an arithmetic number, because the mean of its divisors is an integer number (246926910780).

Almost surely, 2^{11011111000120} is an apocalyptic number.

11011111000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011111000120 is an abundant number, since it is smaller than the sum of its proper divisors (20595533579720).

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

11011111000120 is a wasteful number, since it uses less digits than its factorization.

11011111000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83140445 (or 83140441 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11011111000120 its reverse (2100011111011), we get a palindrome (13111122111131).

The spelling of 11011111000120 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred twenty", and thus it is an aban number.