201200033000 has 64 divisors (see below), whose sum is σ = 471317043600. Its totient is φ = 80393011200.

The previous prime is 201200032993. The next prime is 201200033059. The reversal of 201200033000 is 330002102.

It can be written as a sum of positive squares in 8 ways, for example, as 14304638404 + 186895394596 = 119602^2 + 432314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820712 + ... + 1037288.

Almost surely, 2^201200033000 is an apocalyptic number.

201200033000 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 201200033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235658521800).

201200033000 is an abundant number, since it is smaller than the sum of its proper divisors (270117010600).

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

201200033000 is a wasteful number, since it uses less digits than its factorization.

201200033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217527 (or 217513 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 201200033000 its reverse (330002102), we get a palindrome (201530035102).

The spelling of 201200033000 in words is "two hundred one billion, two hundred million, thirty-three thousand".