201220410432000 has 320 divisors, whose sum is σ = 676524555907200. Its totient is φ = 53055864012800.

The previous prime is 201220410431951. The next prime is 201220410432029. The reversal of 201220410432000 is 234014022102.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 11200231 + ... + 22975769.

It is an arithmetic number, because the mean of its divisors is an integer number (2114139237210).

Almost surely, 2^{201220410432000} is an apocalyptic number.

201220410432000 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 201220410432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338262277953600).

201220410432000 is an abundant number, since it is smaller than the sum of its proper divisors (475304145475200).

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

201220410432000 is an equidigital number, since it uses as much as digits as its factorization.

201220410432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11775664 (or 11775638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201220410432000 its reverse (234014022102), we get a palindrome (201454424454102).

The spelling of 201220410432000 in words is "two hundred one trillion, two hundred twenty billion, four hundred ten million, four hundred thirty-two thousand".