221030301312 has 240 divisors, whose sum is σ = 681273771750. Its totient is φ = 71133382656.

The previous prime is 221030301301. The next prime is 221030301313. The reversal of 221030301312 is 213103030122.

221030301312 is a `hidden beast` number, since 2 + 21 + 0 + 30 + 301 + 312 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 182479334976 + 38550966336 = 427176^2 + 196344^2 .

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 (221030301313) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8706814 + ... + 8732162.

Almost surely, 2^221030301312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221030301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340636885875).

221030301312 is an abundant number, since it is smaller than the sum of its proper divisors (460243470438).

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

221030301312 is an equidigital number, since it uses as much as digits as its factorization.

221030301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25433 (or 25383 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221030301312 its reverse (213103030122), we get a palindrome (434133331434).

The spelling of 221030301312 in words is "two hundred twenty-one billion, thirty million, three hundred one thousand, three hundred twelve".