212520000 has 560 divisors, whose sum is σ = 914107392. Its totient is φ = 42240000.

The previous prime is 212519987. The next prime is 212520001. The reversal of 212520000 is 25212.

212520000 is digitally balanced in base 3, 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 (560).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212520001) 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 79 ways as a sum of consecutive naturals, for example, 9239989 + ... + 9240011.

Almost surely, 2^212520000 is an apocalyptic number.

212520000 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 212520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457053696).

212520000 is an abundant number, since it is smaller than the sum of its proper divisors (701587392).

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

212520000 is a wasteful number, since it uses less digits than its factorization.

212520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 212520000 is about 14578.0657153135. The cubic root of 212520000 is about 596.7603166813.

Adding to 212520000 its reverse (25212), we get a palindrome (212545212).

The spelling of 212520000 in words is "two hundred twelve million, five hundred twenty thousand".