212191200 has 216 divisors, whose sum is σ = 806151528. Its totient is φ = 52208640.

The previous prime is 212191193. The next prime is 212191253. The reversal of 212191200 is 2191212.

212191200 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92467 + ... + 94733.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183).

Almost surely, 2^212191200 is an apocalyptic number.

212191200 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 212191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403075764).

212191200 is an abundant number, since it is smaller than the sum of its proper divisors (593960328).

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

212191200 is a wasteful number, since it uses less digits than its factorization.

212191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 212191200 is about 14566.7841337750. The cubic root of 212191200 is about 596.4523988848.

The spelling of 212191200 in words is "two hundred twelve million, one hundred ninety-one thousand, two hundred".