212112120312221 has 8 divisors (see below), whose sum is σ = 219426726519000. Its totient is φ = 204797540449600.

The previous prime is 212112120312143. The next prime is 212112120312227. The reversal of 212112120312221 is 122213021211212.

212112120312221 is digitally balanced in base 2, 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 4 ways, for example, as 112359766800121 + 99752353512100 = 10599989^2 + 9987610^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212112120312221 is a prime.

It is a super-2 number, since 2×212112120312221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112120312227) 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, 10550555 + ... + 23141703.

It is an arithmetic number, because the mean of its divisors is an integer number (27428340814875).

Almost surely, 2^{212112120312221} is an apocalyptic number.

It is an amenable number.

212112120312221 is a deficient number, since it is larger than the sum of its proper divisors (7314606206779).

212112120312221 is a wasteful number, since it uses less digits than its factorization.

212112120312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13172079.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 212112120312221 its reverse (122213021211212), we get a palindrome (334325141523433).

The spelling of 212112120312221 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty million, three hundred twelve thousand, two hundred twenty-one".