221220200160 has 144 divisors (see below), whose sum is σ = 759132213840. Its totient is φ = 58662420480.

The previous prime is 221220200153. The next prime is 221220200161. The reversal of 221220200160 is 61002022122.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220200161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171361 + ... + 686880.

It is an arithmetic number, because the mean of its divisors is an integer number (5271751485).

Almost surely, 2^221220200160 is an apocalyptic number.

221220200160 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 221220200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379566106920).

221220200160 is an abundant number, since it is smaller than the sum of its proper divisors (537912013680).

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

221220200160 is a wasteful number, since it uses less digits than its factorization.

221220200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858441 (or 858430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221220200160 its reverse (61002022122), we get a palindrome (282222222282).

The spelling of 221220200160 in words is "two hundred twenty-one billion, two hundred twenty million, two hundred thousand, one hundred sixty".