212334320314120 has 256 divisors, whose sum is σ = 510315251846400. Its totient is φ = 79369813770240.

The previous prime is 212334320314097. The next prime is 212334320314121. The reversal of 212334320314120 is 21413023433212.

It is not an unprimeable number, because it can be changed into a prime (212334320314121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3055267212 + ... + 3055336708.

It is an arithmetic number, because the mean of its divisors is an integer number (1993418952525).

Almost surely, 2^{212334320314120} is an apocalyptic number.

212334320314120 is a gapful number since it is divisible by the number (20) 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 212334320314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255157625923200).

212334320314120 is an abundant number, since it is smaller than the sum of its proper divisors (297980931532280).

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

212334320314120 is a wasteful number, since it uses less digits than its factorization.

212334320314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70088 (or 70084 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 212334320314120 its reverse (21413023433212), we get a palindrome (233747343747332).

The spelling of 212334320314120 in words is "two hundred twelve trillion, three hundred thirty-four billion, three hundred twenty million, three hundred fourteen thousand, one hundred twenty".