212352200 has 48 divisors (see below), whose sum is σ = 498383280. Its totient is φ = 84138560.

The previous prime is 212352193. The next prime is 212352209. The reversal of 212352200 is 2253212.

It is not an unprimeable number, because it can be changed into a prime (212352209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16439 + ... + 26361.

It is an arithmetic number, because the mean of its divisors is an integer number (10382985).

Almost surely, 2^212352200 is an apocalyptic number.

212352200 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 212352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249191640).

212352200 is an abundant number, since it is smaller than the sum of its proper divisors (286031080).

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

212352200 is a wasteful number, since it uses less digits than its factorization.

212352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 212352200 is about 14572.3093571335. The cubic root of 212352200 is about 596.6032134319.

The spelling of 212352200 in words is "two hundred twelve million, three hundred fifty-two thousand, two hundred".