221312011328 has 28 divisors (see below), whose sum is σ = 439584807900. Its totient is φ = 110550484992.

The previous prime is 221312011321. The next prime is 221312011337. The reversal of 221312011328 is 823110213122.

221312011328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 92396545024 + 128915466304 = 303968^2 + 359048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221312011297 and 221312011306.

It is not an unprimeable number, because it can be changed into a prime (221312011321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1581101 + ... + 1715372.

It is an arithmetic number, because the mean of its divisors is an integer number (15699457425).

Almost surely, 2^221312011328 is an apocalyptic number.

It is an amenable number.

221312011328 is a deficient number, since it is larger than the sum of its proper divisors (218272796572).

221312011328 is a wasteful number, since it uses less digits than its factorization.

221312011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297534 (or 3297524 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 221312011328 in words is "two hundred twenty-one billion, three hundred twelve million, eleven thousand, three hundred twenty-eight".