212368000 has 128 divisors (see below), whose sum is σ = 569172240. Its totient is φ = 78336000.

The previous prime is 212367983. The next prime is 212368001. The reversal of 212368000 is 863212.

It can be written as a sum of positive squares in 8 ways, for example, as 141376 + 212226624 = 376^2 + 14568^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212368001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 207490 + ... + 208510.

Almost surely, 2^212368000 is an apocalyptic number.

212368000 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 212368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284586120).

212368000 is an abundant number, since it is smaller than the sum of its proper divisors (356804240).

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

212368000 is a wasteful number, since it uses less digits than its factorization.

212368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 212368000 is about 14572.8514711432. The cubic root of 212368000 is about 596.6180097577.

The spelling of 212368000 in words is "two hundred twelve million, three hundred sixty-eight thousand".