221221211310312 has 64 divisors (see below), whose sum is σ = 557412229601280. Its totient is φ = 73159186205952.

The previous prime is 221221211310301. The next prime is 221221211310383. The reversal of 221221211310312 is 213013112122122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557015518 + ... + 557412530.

It is an arithmetic number, because the mean of its divisors is an integer number (8709566087520).

Almost surely, 2^{221221211310312} is an apocalyptic number.

It is an amenable number.

221221211310312 is an abundant number, since it is smaller than the sum of its proper divisors (336191018290968).

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

221221211310312 is a wasteful number, since it uses less digits than its factorization.

221221211310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579962 (or 579958 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 221221211310312 its reverse (213013112122122), we get a palindrome (434234323432434).

The spelling of 221221211310312 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred eleven million, three hundred ten thousand, three hundred twelve".