213122404221312 has 256 divisors, whose sum is σ = 583593952435200. Its totient is φ = 68869630771200.

The previous prime is 213122404221301. The next prime is 213122404221379.

213122404221312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 213122404221312.

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 31 ways as a sum of consecutive naturals, for example, 1616984598 + ... + 1617116394.

It is an arithmetic number, because the mean of its divisors is an integer number (2279663876700).

Almost surely, 2^{213122404221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213122404221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291796976217600).

213122404221312 is an abundant number, since it is smaller than the sum of its proper divisors (370471548213888).

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

213122404221312 is a wasteful number, since it uses less digits than its factorization.

213122404221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132505 (or 132493 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 21312240 and 4221312, that added together give a palindrome (25533552).

The spelling of 213122404221312 in words is "two hundred thirteen trillion, one hundred twenty-two billion, four hundred four million, two hundred twenty-one thousand, three hundred twelve".