212616200 has 48 divisors (see below), whose sum is σ = 497178000. Its totient is φ = 84557120.

The previous prime is 212616199. The next prime is 212616241. The reversal of 212616200 is 2616212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32831 + ... + 38769.

It is an arithmetic number, because the mean of its divisors is an integer number (10357875).

Almost surely, 2^212616200 is an apocalyptic number.

212616200 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 212616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248589000).

212616200 is an abundant number, since it is smaller than the sum of its proper divisors (284561800).

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

212616200 is a wasteful number, since it uses less digits than its factorization.

212616200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 212616200 is about 14581.3648195222. The cubic root of 212616200 is about 596.8503469254.

The spelling of 212616200 in words is "two hundred twelve million, six hundred sixteen thousand, two hundred".