11121122103120 has 60 divisors (see below), whose sum is σ = 37348435065396. Its totient is φ = 2965632560640.

The previous prime is 11121122103079. The next prime is 11121122103163. The reversal of 11121122103120 is 2130122112111.

It is a happy number.

11121122103120 is a `hidden beast` number, since 11 + 121 + 1 + 221 + 0 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7365557169936 + 3755564933184 = 2713956^2 + 1937928^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11121122103093 and 11121122103102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7723000741 + ... + 7723002180.

Almost surely, 2^{11121122103120} is an apocalyptic number.

11121122103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121122103120 is an abundant number, since it is smaller than the sum of its proper divisors (26227312962276).

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

11121122103120 is a wasteful number, since it uses less digits than its factorization.

11121122103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446002940 (or 15446002931 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11121122103120 its reverse (2130122112111), we get a palindrome (13251244215231).

The spelling of 11121122103120 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred three thousand, one hundred twenty".