221120001313200 has 720 divisors, whose sum is σ = 841636441507680. Its totient is φ = 53315518464000.

The previous prime is 221120001313163. The next prime is 221120001313201. The reversal of 221120001313200 is 2313100021122.

221120001313200 is a `hidden beast` number, since 2 + 2 + 11 + 200 + 0 + 131 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221120001313201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5905806480 + ... + 5905843920.

It is an arithmetic number, because the mean of its divisors is an integer number (1168939502094).

Almost surely, 2^{221120001313200} is an apocalyptic number.

221120001313200 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 221120001313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420818220753840).

221120001313200 is an abundant number, since it is smaller than the sum of its proper divisors (620516440194480).

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

221120001313200 is a wasteful number, since it uses less digits than its factorization.

221120001313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38278 (or 38264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221120001313200 its reverse (2313100021122), we get a palindrome (223433101334322).

The spelling of 221120001313200 in words is "two hundred twenty-one trillion, one hundred twenty billion, one million, three hundred thirteen thousand, two hundred".