201221112405360 has 80 divisors (see below), whose sum is σ = 656616261548160. Its totient is φ = 50834807343360.

The previous prime is 201221112405233. The next prime is 201221112405413. The reversal of 201221112405360 is 63504211122102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 22063713906 + ... + 22063723025.

It is an arithmetic number, because the mean of its divisors is an integer number (8207703269352).

Almost surely, 2^{201221112405360} is an apocalyptic number.

201221112405360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221112405360 is an abundant number, since it is smaller than the sum of its proper divisors (455395149142800).

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

201221112405360 is a wasteful number, since it uses less digits than its factorization.

201221112405360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44127436966 (or 44127436960 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 201221112405360 its reverse (63504211122102), we get a palindrome (264725323527462).

The spelling of 201221112405360 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred twelve million, four hundred five thousand, three hundred sixty".