201205334000 has 480 divisors, whose sum is σ = 573682531968. Its totient is φ = 68023296000.

The previous prime is 201205333993. The next prime is 201205334089. The reversal of 201205334000 is 433502102.

It is a happy number.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205941512 + ... + 205942488.

Almost surely, 2^201205334000 is an apocalyptic number.

201205334000 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 201205334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286841265984).

201205334000 is an abundant number, since it is smaller than the sum of its proper divisors (372477197968).

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

201205334000 is a wasteful number, since it uses less digits than its factorization.

201205334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 201205334000 its reverse (433502102), we get a palindrome (201638836102).

The spelling of 201205334000 in words is "two hundred one billion, two hundred five million, three hundred thirty-four thousand".