212313313212 has 384 divisors, whose sum is σ = 677105049600. Its totient is φ = 49997952000.

The previous prime is 212313313211. The next prime is 212313313273.

212313313212 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313313211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168635839 + ... + 168637097.

It is an arithmetic number, because the mean of its divisors is an integer number (1763294400).

Almost surely, 2^212313313212 is an apocalyptic number.

212313313212 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 212313313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338552524800).

212313313212 is an abundant number, since it is smaller than the sum of its proper divisors (464791736388).

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

212313313212 is a wasteful number, since it uses less digits than its factorization.

212313313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1535 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 212313 and 313212, that added together give a palindrome (525525).

The spelling of 212313313212 in words is "two hundred twelve billion, three hundred thirteen million, three hundred thirteen thousand, two hundred twelve".