201342005200 has 120 divisors (see below), whose sum is σ = 558301944960. Its totient is φ = 68347968000.

The previous prime is 201342005191. The next prime is 201342005209. The reversal of 201342005200 is 2500243102.

It is an interprime number because it is at equal distance from previous prime (201342005191) and next prime (201342005209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201342005209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73180 + ... + 638779.

It is an arithmetic number, because the mean of its divisors is an integer number (4652516208).

Almost surely, 2^201342005200 is an apocalyptic number.

201342005200 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 201342005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279150972480).

201342005200 is an abundant number, since it is smaller than the sum of its proper divisors (356959939760).

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

201342005200 is a wasteful number, since it uses less digits than its factorization.

201342005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712085 (or 712074 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 201342005200 its reverse (2500243102), we get a palindrome (203842248302).

The spelling of 201342005200 in words is "two hundred one billion, three hundred forty-two million, five thousand, two hundred".