213212000 has 96 divisors (see below), whose sum is σ = 528825024. Its totient is φ = 84480000.

The previous prime is 213211993. The next prime is 213212029. The reversal of 213212000 is 212312.

It is a happy number.

213212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603824 + ... + 604176.

It is an arithmetic number, because the mean of its divisors is an integer number (5508594).

Almost surely, 2^213212000 is an apocalyptic number.

213212000 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 213212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264412512).

213212000 is an abundant number, since it is smaller than the sum of its proper divisors (315613024).

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

213212000 is a wasteful number, since it uses less digits than its factorization.

213212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 213212000 is about 14601.7807133240. The cubic root of 213212000 is about 597.4073314382.

Adding to 213212000 its reverse (212312), we get a palindrome (213424312).

The spelling of 213212000 in words is "two hundred thirteen million, two hundred twelve thousand".