201261424000 has 960 divisors, whose sum is σ = 652497655680. Its totient is φ = 61641216000.

The previous prime is 201261423991. The next prime is 201261424087. The reversal of 201261424000 is 424162102.

It is a happy number.

201261424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6492303985 + ... + 6492304015.

It is an arithmetic number, because the mean of its divisors is an integer number (679685058).

Almost surely, 2^201261424000 is an apocalyptic number.

201261424000 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 201261424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326248827840).

201261424000 is an abundant number, since it is smaller than the sum of its proper divisors (451236231680).

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

201261424000 is an frugal number, since it uses more digits than its factorization.

201261424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201261424000 its reverse (424162102), we get a palindrome (201685586102).

The spelling of 201261424000 in words is "two hundred one billion, two hundred sixty-one million, four hundred twenty-four thousand".