213214222412312 has 96 divisors (see below), whose sum is σ = 459122547068640. Its totient is φ = 92581903603200.

The previous prime is 213214222412311. The next prime is 213214222412351.

It is a happy number.

213214222412312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213214222412311) 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, 11015612 + ... + 23404532.

It is an arithmetic number, because the mean of its divisors is an integer number (4782526531965).

Almost surely, 2^{213214222412312} is an apocalyptic number.

213214222412312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213214222412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229561273534320).

213214222412312 is an abundant number, since it is smaller than the sum of its proper divisors (245908324656328).

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

213214222412312 is a wasteful number, since it uses less digits than its factorization.

213214222412312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12389745 (or 12389730 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 213214222412312 in words is "two hundred thirteen trillion, two hundred fourteen billion, two hundred twenty-two million, four hundred twelve thousand, three hundred twelve".