212032000 has 80 divisors (see below), whose sum is σ = 528874632. Its totient is φ = 84787200.

The previous prime is 212031991. The next prime is 212032003. The reversal of 212032000 is 230212.

It can be written as a sum of positive squares in 4 ways, for example, as 114575616 + 97456384 = 10704^2 + 9872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212032003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62344 + ... + 65656.

Almost surely, 2^212032000 is an apocalyptic number.

212032000 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 212032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264437316).

212032000 is an abundant number, since it is smaller than the sum of its proper divisors (316842632).

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

212032000 is an frugal number, since it uses more digits than its factorization.

212032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 212032000 is about 14561.3186216084. The cubic root of 212032000 is about 596.3031954321.

Adding to 212032000 its reverse (230212), we get a palindrome (212262212).

The spelling of 212032000 in words is "two hundred twelve million, thirty-two thousand".