110320131200 has 96 divisors (see below), whose sum is σ = 272823462660. Its totient is φ = 44079759360.

The previous prime is 110320131197. The next prime is 110320131209. The reversal of 110320131200 is 2131023011.

It can be written as a sum of positive squares in 6 ways, for example, as 1171829824 + 109148301376 = 34232^2 + 330376^2 .

It is not an unprimeable number, because it can be changed into a prime (110320131209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2980004 + ... + 3016796.

Almost surely, 2^110320131200 is an apocalyptic number.

110320131200 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 110320131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136411731330).

110320131200 is an abundant number, since it is smaller than the sum of its proper divisors (162503331460).

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

110320131200 is an equidigital number, since it uses as much as digits as its factorization.

110320131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37754 (or 37737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 110320131200 its reverse (2131023011), we get a palindrome (112451154211).

The spelling of 110320131200 in words is "one hundred ten billion, three hundred twenty million, one hundred thirty-one thousand, two hundred".