213422222224312 has 96 divisors (see below), whose sum is σ = 429524463816000. Its totient is φ = 99386655473664.

The previous prime is 213422222224271. The next prime is 213422222224319.

213422222224312 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×213422222224312³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213422222224319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2029312353 + ... + 2029417519.

It is an arithmetic number, because the mean of its divisors is an integer number (4474213164750).

Almost surely, 2^{213422222224312} is an apocalyptic number.

It is an amenable number.

213422222224312 is an abundant number, since it is smaller than the sum of its proper divisors (216102241591688).

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

213422222224312 is a wasteful number, since it uses less digits than its factorization.

213422222224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114353 (or 114332 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The spelling of 213422222224312 in words is "two hundred thirteen trillion, four hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, three hundred twelve".