201140220000 has 240 divisors, whose sum is σ = 660504220992. Its totient is φ = 53578560000.

The previous prime is 201140219977. The next prime is 201140220007. The reversal of 201140220000 is 22041102.

201140220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201140220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100018995 + ... + 100021005.

Almost surely, 2^201140220000 is an apocalyptic number.

201140220000 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 201140220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330252110496).

201140220000 is an abundant number, since it is smaller than the sum of its proper divisors (459364000992).

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

201140220000 is a wasteful number, since it uses less digits than its factorization.

201140220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201140220000 its reverse (22041102), we get a palindrome (201162261102).

The spelling of 201140220000 in words is "two hundred one billion, one hundred forty million, two hundred twenty thousand".