212205000 has 320 divisors, whose sum is σ = 791746560. Its totient is φ = 46368000.

The previous prime is 212204987. The next prime is 212205017. The reversal of 212205000 is 502212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4514977 + ... + 4515023.

It is an arithmetic number, because the mean of its divisors is an integer number (2474208).

Almost surely, 2^212205000 is an apocalyptic number.

212205000 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 212205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395873280).

212205000 is an abundant number, since it is smaller than the sum of its proper divisors (579541560).

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

212205000 is a wasteful number, since it uses less digits than its factorization.

212205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

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

The square root of 212205000 is about 14567.2578064645. The cubic root of 212205000 is about 596.4653288346.

Adding to 212205000 its reverse (502212), we get a palindrome (212707212).

The spelling of 212205000 in words is "two hundred twelve million, two hundred five thousand".