201233252000 has 96 divisors (see below), whose sum is σ = 539378409024. Its totient is φ = 73175712000.

The previous prime is 201233251963. The next prime is 201233252009. The reversal of 201233252000 is 252332102.

201233252000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201233252009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2242742 + ... + 2330741.

It is an arithmetic number, because the mean of its divisors is an integer number (5618525094).

Almost surely, 2^201233252000 is an apocalyptic number.

201233252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201233252000 is an abundant number, since it is smaller than the sum of its proper divisors (338145157024).

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

201233252000 is a wasteful number, since it uses less digits than its factorization.

201233252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573519 (or 4573501 counting only the distinct ones).

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

Adding to 201233252000 its reverse (252332102), we get a palindrome (201485584102).

The spelling of 201233252000 in words is "two hundred one billion, two hundred thirty-three million, two hundred fifty-two thousand".