212280000 has 280 divisors, whose sum is σ = 737951280. Its totient is φ = 53760000.

The previous prime is 212279981. The next prime is 212280011. The reversal of 212280000 is 82212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 3479970 + ... + 3480030.

Almost surely, 2^212280000 is an apocalyptic number.

212280000 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 212280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368975640).

212280000 is an abundant number, since it is smaller than the sum of its proper divisors (525671280).

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

212280000 is an equidigital number, since it uses as much as digits as its factorization.

212280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212280000 is about 14569.8318452891. The cubic root of 212280000 is about 596.5355905005.

The spelling of 212280000 in words is "two hundred twelve million, two hundred eighty thousand".