212421300 has 288 divisors, whose sum is σ = 783949824. Its totient is φ = 43200000.

The previous prime is 212421241. The next prime is 212421323. The reversal of 212421300 is 3124212.

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 212421300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846175 + ... + 846425.

It is an arithmetic number, because the mean of its divisors is an integer number (2722048).

Almost surely, 2^212421300 is an apocalyptic number.

212421300 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 212421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391974912).

212421300 is an abundant number, since it is smaller than the sum of its proper divisors (571528524).

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

212421300 is a wasteful number, since it uses less digits than its factorization.

212421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

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

The square root of 212421300 is about 14574.6800994053. The cubic root of 212421300 is about 596.6679185323.

Adding to 212421300 its reverse (3124212), we get a palindrome (215545512).

The spelling of 212421300 in words is "two hundred twelve million, four hundred twenty-one thousand, three hundred".