212214300 has 72 divisors (see below), whose sum is σ = 616887600. Its totient is φ = 56325120.

The previous prime is 212214269. The next prime is 212214311. The reversal of 212214300 is 3412212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212214300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67156 + ... + 70244.

Almost surely, 2^212214300 is an apocalyptic number.

212214300 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 212214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308443800).

212214300 is an abundant number, since it is smaller than the sum of its proper divisors (404673300).

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

212214300 is a wasteful number, since it uses less digits than its factorization.

212214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212214300 is about 14567.5770119811. The cubic root of 212214300 is about 596.4740421802.

Adding to 212214300 its reverse (3412212), we get a palindrome (215626512).

The spelling of 212214300 in words is "two hundred twelve million, two hundred fourteen thousand, three hundred".