213122444221312 has 64 divisors (see below), whose sum is σ = 428831032640400. Its totient is φ = 105494496768000.

The previous prime is 213122444221259. The next prime is 213122444221339.

It is a happy number.

213122444221312 is nontrivially palindromic in base 10.

213122444221312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116621764 + ... + 118435132.

Almost surely, 2^{213122444221312} 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 213122444221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214415516320200).

213122444221312 is an abundant number, since it is smaller than the sum of its proper divisors (215708588419088).

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

213122444221312 is a wasteful number, since it uses less digits than its factorization.

213122444221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822575 (or 1822563 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 213122444221312 in words is "two hundred thirteen trillion, one hundred twenty-two billion, four hundred forty-four million, two hundred twenty-one thousand, three hundred twelve".