200144121113112 has 128 divisors (see below), whose sum is σ = 550914243264000. Its totient is φ = 60086892579840.

The previous prime is 200144121113077. The next prime is 200144121113173. The reversal of 200144121113112 is 211311121441002.

200144121113112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×200144121113112³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272400828 + ... + 273134580.

It is an arithmetic number, because the mean of its divisors is an integer number (4304017525500).

Almost surely, 2^{200144121113112} is an apocalyptic number.

200144121113112 is a gapful number since it is divisible by the number (22) 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 200144121113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275457121632000).

200144121113112 is an abundant number, since it is smaller than the sum of its proper divisors (350770122150888).

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

200144121113112 is a wasteful number, since it uses less digits than its factorization.

200144121113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743361 (or 743357 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 200144121113112 its reverse (211311121441002), we get a palindrome (411455242554114).

The spelling of 200144121113112 in words is "two hundred trillion, one hundred forty-four billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred twelve".