213122222221312 has 96 divisors (see below), whose sum is σ = 452182026441600. Its totient is φ = 100076187746304.

The previous prime is 213122222221219. The next prime is 213122222221313.

213122222221312 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (213122222221313) 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, 9509239 + ... + 22730377.

It is an arithmetic number, because the mean of its divisors is an integer number (4710229442100).

Almost surely, 2^{213122222221312} 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 213122222221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226091013220800).

213122222221312 is an abundant number, since it is smaller than the sum of its proper divisors (239059804220288).

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

213122222221312 is a wasteful number, since it uses less digits than its factorization.

213122222221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13221641 (or 13221621 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 213122222221312 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".