201233344000 has 160 divisors (see below), whose sum is σ = 540389225376. Its totient is φ = 74301235200.

The previous prime is 201233343977. The next prime is 201233344031. The reversal of 201233344000 is 443332102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 711067 + ... + 952933.

Almost surely, 2^201233344000 is an apocalyptic number.

201233344000 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 201233344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270194612688).

201233344000 is an abundant number, since it is smaller than the sum of its proper divisors (339155881376).

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

201233344000 is an equidigital number, since it uses as much as digits as its factorization.

201233344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241913 (or 241887 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 201233344000 its reverse (443332102), we get a palindrome (201676676102).

The spelling of 201233344000 in words is "two hundred one billion, two hundred thirty-three million, three hundred forty-four thousand".