221221622160 has 960 divisors, whose sum is σ = 966722125824. Its totient is φ = 43993497600.

The previous prime is 221221622159. The next prime is 221221622173. The reversal of 221221622160 is 61226122122.

221221622160 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 21 + 622 + 16 + 0 = 666.

It is a super-2 number, since 2×221221622160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166707417 + ... + 166708743.

Almost surely, 2^221221622160 is an apocalyptic number.

221221622160 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 221221622160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483361062912).

221221622160 is an abundant number, since it is smaller than the sum of its proper divisors (745500503664).

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

221221622160 is a wasteful number, since it uses less digits than its factorization.

221221622160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 221221622160 its reverse (61226122122), we get a palindrome (282447744282).

The spelling of 221221622160 in words is "two hundred twenty-one billion, two hundred twenty-one million, six hundred twenty-two thousand, one hundred sixty".