201140112420 has 216 divisors, whose sum is σ = 674729467776. Its totient is φ = 48457633536.

The previous prime is 201140112401. The next prime is 201140112469. The reversal of 201140112420 is 24211041102.

201140112420 is a `hidden beast` number, since 20 + 1 + 1 + 401 + 1 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201140112393 and 201140112402.

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 71 ways as a sum of consecutive naturals, for example, 1359399 + ... + 1500081.

It is an arithmetic number, because the mean of its divisors is an integer number (3123747536).

Almost surely, 2^201140112420 is an apocalyptic number.

201140112420 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 201140112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337364733888).

201140112420 is an abundant number, since it is smaller than the sum of its proper divisors (473589355356).

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

201140112420 is a wasteful number, since it uses less digits than its factorization.

201140112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140771 (or 140753 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201140112420 its reverse (24211041102), we get a palindrome (225351153522).

The spelling of 201140112420 in words is "two hundred one billion, one hundred forty million, one hundred twelve thousand, four hundred twenty".