20144011113200 has 240 divisors, whose sum is σ = 52752506290176. Its totient is φ = 7347857587200.

The previous prime is 20144011113169. The next prime is 20144011113221. The reversal of 20144011113200 is 231111044102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 151841297 + ... + 151973903.

Almost surely, 2^{20144011113200} is an apocalyptic number.

20144011113200 is a gapful number since it is divisible by the number (20) 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 20144011113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26376253145088).

20144011113200 is an abundant number, since it is smaller than the sum of its proper divisors (32608495176976).

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

20144011113200 is a wasteful number, since it uses less digits than its factorization.

20144011113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132992 (or 132981 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 20144011113200 its reverse (231111044102), we get a palindrome (20375122157302).

The spelling of 20144011113200 in words is "twenty trillion, one hundred forty-four billion, eleven million, one hundred thirteen thousand, two hundred".