212318400 has 336 divisors, whose sum is σ = 816376320. Its totient is φ = 47308800.

The previous prime is 212318387. The next prime is 212318401. The reversal of 212318400 is 4813212.

212318400 = 60² + 61² + ... + 860².

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212318401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2385556 + ... + 2385644.

Almost surely, 2^212318400 is an apocalyptic number.

212318400 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 212318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408188160).

212318400 is an abundant number, since it is smaller than the sum of its proper divisors (604057920).

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

212318400 is a wasteful number, since it uses less digits than its factorization.

212318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 212318400 is about 14571.1495771610. The cubic root of 212318400 is about 596.5715580679.

The spelling of 212318400 in words is "two hundred twelve million, three hundred eighteen thousand, four hundred".