11011200120 has 96 divisors (see below), whose sum is σ = 36239486400. Its totient is φ = 2899143936.

The previous prime is 11011200077. The next prime is 11011200163. The reversal of 11011200120 is 2100211011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11011200077) and next prime (11011200163).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165147 + ... + 222026.

It is an arithmetic number, because the mean of its divisors is an integer number (377494650).

Almost surely, 2^11011200120 is an apocalyptic number.

11011200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011200120 is an abundant number, since it is smaller than the sum of its proper divisors (25228286280).

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

11011200120 is a wasteful number, since it uses less digits than its factorization.

11011200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387269 (or 387262 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011200120 its reverse (2100211011), we get a palindrome (13111411131).

The spelling of 11011200120 in words is "eleven billion, eleven million, two hundred thousand, one hundred twenty".