212055000 has 160 divisors (see below), whose sum is σ = 675533760. Its totient is φ = 55440000.

The previous prime is 212054981. The next prime is 212055007. The reversal of 212055000 is 550212.

212055000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212055007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1004895 + ... + 1005105.

It is an arithmetic number, because the mean of its divisors is an integer number (4222086).

Almost surely, 2^212055000 is an apocalyptic number.

212055000 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 212055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337766880).

212055000 is an abundant number, since it is smaller than the sum of its proper divisors (463478760).

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

212055000 is a wasteful number, since it uses less digits than its factorization.

212055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 212055000 is about 14562.1083638325. The cubic root of 212055000 is about 596.3247558217.

The spelling of 212055000 in words is "two hundred twelve million, fifty-five thousand".