110311200000 has 432 divisors, whose sum is σ = 407815773120. Its totient is φ = 29410560000.

The previous prime is 110311199987. The next prime is 110311200001. The reversal of 110311200000 is 2113011.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110311200001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21597447 + ... + 21602553.

Almost surely, 2^110311200000 is an apocalyptic number.

110311200000 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 110311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203907886560).

110311200000 is an abundant number, since it is smaller than the sum of its proper divisors (297504573120).

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

110311200000 is an frugal number, since it uses more digits than its factorization.

110311200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110311200000 its reverse (2113011), we get a palindrome (110313313011).

The spelling of 110311200000 in words is "one hundred ten billion, three hundred eleven million, two hundred thousand".