201041212800 has 192 divisors, whose sum is σ = 662471884800. Its totient is φ = 53587322880.

The previous prime is 201041212789. The next prime is 201041212819. The reversal of 201041212800 is 8212140102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38080561 + ... + 38085839.

It is an arithmetic number, because the mean of its divisors is an integer number (3450374400).

Almost surely, 2^201041212800 is an apocalyptic number.

201041212800 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 201041212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331235942400).

201041212800 is an abundant number, since it is smaller than the sum of its proper divisors (461430672000).

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

201041212800 is a wasteful number, since it uses less digits than its factorization.

201041212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9273 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 201041212800 its reverse (8212140102), we get a palindrome (209253352902).

The spelling of 201041212800 in words is "two hundred one billion, forty-one million, two hundred twelve thousand, eight hundred".