11123310120 has 256 divisors, whose sum is σ = 38701152000. Its totient is φ = 2532950016.

The previous prime is 11123310109. The next prime is 11123310139. The reversal of 11123310120 is 2101332111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11123310120.

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 63 ways as a sum of consecutive naturals, for example, 1561126 + ... + 1568234.

It is an arithmetic number, because the mean of its divisors is an integer number (151176375).

Almost surely, 2^11123310120 is an apocalyptic number.

11123310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350576000).

11123310120 is an abundant number, since it is smaller than the sum of its proper divisors (27577841880).

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

11123310120 is a wasteful number, since it uses less digits than its factorization.

11123310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11123310120 its reverse (2101332111), we get a palindrome (13224642231).

The spelling of 11123310120 in words is "eleven billion, one hundred twenty-three million, three hundred ten thousand, one hundred twenty".