212414000310 has 96 divisors (see below), whose sum is σ = 555046678368. Its totient is φ = 56359964160.

The previous prime is 212414000273. The next prime is 212414000341. The reversal of 212414000310 is 13000414212.

212414000310 is a `hidden beast` number, since 21 + 241 + 400 + 0 + 3 + 1 + 0 = 666.

212414000310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212414000310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39022449 + ... + 39027891.

It is an arithmetic number, because the mean of its divisors is an integer number (5781736233).

Almost surely, 2^212414000310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212414000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277523339184).

212414000310 is an abundant number, since it is smaller than the sum of its proper divisors (342632678058).

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

212414000310 is a wasteful number, since it uses less digits than its factorization.

212414000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212414000310 its reverse (13000414212), we get a palindrome (225414414522).

The spelling of 212414000310 in words is "two hundred twelve billion, four hundred fourteen million, three hundred ten", and thus it is an aban number.