212334130345440 has 192 divisors, whose sum is σ = 672780779012160. Its totient is φ = 56290099691520.

The previous prime is 212334130345411. The next prime is 212334130345457. The reversal of 212334130345440 is 44543031433212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251269546 + ... + 252113174.

It is an arithmetic number, because the mean of its divisors is an integer number (3504066557355).

Almost surely, 2^{212334130345440} is an apocalyptic number.

212334130345440 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 212334130345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336390389506080).

212334130345440 is an abundant number, since it is smaller than the sum of its proper divisors (460446648666720).

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

212334130345440 is a wasteful number, since it uses less digits than its factorization.

212334130345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846725 (or 846717 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 212334130345440 its reverse (44543031433212), we get a palindrome (256877161778652).

The spelling of 212334130345440 in words is "two hundred twelve trillion, three hundred thirty-four billion, one hundred thirty million, three hundred forty-five thousand, four hundred forty".