110199060000 has 180 divisors, whose sum is σ = 391598509302. Its totient is φ = 29386368000.

The previous prime is 110199059983. The next prime is 110199060007. The reversal of 110199060000 is 60991011.

It can be written as a sum of positive squares in 5 ways, for example, as 2538950544 + 107660109456 = 50388^2 + 328116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (110199060007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 126109 + ... + 486108.

Almost surely, 2^110199060000 is an apocalyptic number.

110199060000 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 110199060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195799254651).

110199060000 is an abundant number, since it is smaller than the sum of its proper divisors (281399449302).

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

110199060000 is an equidigital number, since it uses as much as digits as its factorization.

110199060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612253 (or 612227 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 110199060000 in words is "one hundred ten billion, one hundred ninety-nine million, sixty thousand".