11200120120 has 48 divisors (see below), whose sum is σ = 29314605240. Its totient is φ = 3840040512.

The previous prime is 11200120103. The next prime is 11200120121. The reversal of 11200120120 is 2102100211.

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

11200120120 is a modest number, since divided by 120120 gives 11200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11200120097 and 11200120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200120121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2855214 + ... + 2859133.

Almost surely, 2^11200120120 is an apocalyptic number.

11200120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200120120 is an abundant number, since it is smaller than the sum of its proper divisors (18114485120).

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

11200120120 is a wasteful number, since it uses less digits than its factorization.

11200120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714372 (or 5714361 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200120120 its reverse (2102100211), we get a palindrome (13302220331).

The spelling of 11200120120 in words is "eleven billion, two hundred million, one hundred twenty thousand, one hundred twenty".