221011323221312 has 112 divisors (see below), whose sum is σ = 495593773799040. Its totient is φ = 97025129760768.

The previous prime is 221011323221281. The next prime is 221011323221333. The reversal of 221011323221312 is 213122323110122.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28835843 + ... + 35686530.

It is an arithmetic number, because the mean of its divisors is an integer number (4424944408920).

Almost surely, 2^{221011323221312} is an apocalyptic number.

It is an amenable number.

221011323221312 is an abundant number, since it is smaller than the sum of its proper divisors (274582450577728).

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

221011323221312 is a wasteful number, since it uses less digits than its factorization.

221011323221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64522600 (or 64522590 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 221011323221312 its reverse (213122323110122), we get a palindrome (434133646331434).

The spelling of 221011323221312 in words is "two hundred twenty-one trillion, eleven billion, three hundred twenty-three million, two hundred twenty-one thousand, three hundred twelve".