213221242122312 has 128 divisors (see below), whose sum is σ = 547853282380800. Its totient is φ = 69103166715648.

The previous prime is 213221242122289. The next prime is 213221242122313.

It is a happy number.

213221242122312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213221242122312.

It is not an unprimeable number, because it can be changed into a prime (213221242122313) by changing a digit.

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, 10830550533 + ... + 10830570219.

It is an arithmetic number, because the mean of its divisors is an integer number (4280103768600).

Almost surely, 2^{213221242122312} 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 213221242122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273926641190400).

213221242122312 is an abundant number, since it is smaller than the sum of its proper divisors (334632040258488).

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

213221242122312 is a wasteful number, since it uses less digits than its factorization.

213221242122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27875 (or 27871 counting only the distinct ones).

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

The spelling of 213221242122312 in words is "two hundred thirteen trillion, two hundred twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, three hundred twelve".