110312200320 has 512 divisors, whose sum is σ = 447901747200. Its totient is φ = 22481141760.

The previous prime is 110312200291. The next prime is 110312200321. The reversal of 110312200320 is 23002213011.

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 110312200320.

It is not an unprimeable number, because it can be changed into a prime (110312200321) 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 63 ways as a sum of consecutive naturals, for example, 4328415 + ... + 4353825.

It is an arithmetic number, because the mean of its divisors is an integer number (874808100).

Almost surely, 2^110312200320 is an apocalyptic number.

110312200320 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 110312200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223950873600).

110312200320 is an abundant number, since it is smaller than the sum of its proper divisors (337589546880).

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

110312200320 is a wasteful number, since it uses less digits than its factorization.

110312200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25476 (or 25464 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 110312200320 its reverse (23002213011), we get a palindrome (133314413331).

The spelling of 110312200320 in words is "one hundred ten billion, three hundred twelve million, two hundred thousand, three hundred twenty".