212420000 has 240 divisors, whose sum is σ = 606180960. Its totient is φ = 72576000.

The previous prime is 212419993. The next prime is 212420003. The reversal of 212420000 is 24212.

It is not an unprimeable number, because it can be changed into a prime (212420003) 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 39 ways as a sum of consecutive naturals, for example, 4939979 + ... + 4940021.

It is an arithmetic number, because the mean of its divisors is an integer number (2525754).

Almost surely, 2^212420000 is an apocalyptic number.

212420000 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 212420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303090480).

212420000 is an abundant number, since it is smaller than the sum of its proper divisors (393760960).

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

212420000 is a wasteful number, since it uses less digits than its factorization.

212420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 212420000 is about 14574.6355014457. The cubic root of 212420000 is about 596.6667013445. Note that the first 3 decimals are identical.

Adding to 212420000 its reverse (24212), we get a palindrome (212444212).

The spelling of 212420000 in words is "two hundred twelve million, four hundred twenty thousand".