221301312 has 56 divisors (see below), whose sum is σ = 604430592. Its totient is φ = 71385600.

The previous prime is 221301299. The next prime is 221301319. The reversal of 221301312 is 213103122.

It is a junction number, because it is equal to n+sod(n) for n = 221301291 and 221301300.

It is not an unprimeable number, because it can be changed into a prime (221301319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12639 + ... + 24542.

Almost surely, 2^221301312 is an apocalyptic number.

It is an amenable number.

221301312 is an abundant number, since it is smaller than the sum of its proper divisors (383129280).

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

221301312 is a wasteful number, since it uses less digits than its factorization.

221301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37227 (or 37217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 221301312 is about 14876.1995146610. The cubic root of 221301312 is about 604.8690033528.

Adding to 221301312 its reverse (213103122), we get a palindrome (434404434).

The spelling of 221301312 in words is "two hundred twenty-one million, three hundred one thousand, three hundred twelve".