110113311200 has 144 divisors (see below), whose sum is σ = 288058906800. Its totient is φ = 40954552320.

The previous prime is 110113311193. The next prime is 110113311211. The reversal of 110113311200 is 2113311011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080026 + ... + 1177574.

It is an arithmetic number, because the mean of its divisors is an integer number (2000409075).

Almost surely, 2^110113311200 is an apocalyptic number.

110113311200 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 110113311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144029453400).

110113311200 is an abundant number, since it is smaller than the sum of its proper divisors (177945595600).

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

110113311200 is a wasteful number, since it uses less digits than its factorization.

110113311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97669 (or 97656 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 110113311200 its reverse (2113311011), we get a palindrome (112226622211).

The spelling of 110113311200 in words is "one hundred ten billion, one hundred thirteen million, three hundred eleven thousand, two hundred".