212314000 has 80 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 83836800.

The previous prime is 212313971. The next prime is 212314033. The reversal of 212314000 is 413212.

212314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165361 + ... + 166639.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^212314000 is an apocalyptic number.

212314000 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 212314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

212314000 is an abundant number, since it is smaller than the sum of its proper divisors (307652720).

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

212314000 is a wasteful number, since it uses less digits than its factorization.

212314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212314000 is about 14570.9985930958. The cubic root of 212314000 is about 596.5674370041.

Adding to 212314000 its reverse (413212), we get a palindrome (212727212).

The spelling of 212314000 in words is "two hundred twelve million, three hundred fourteen thousand".