212132000 has 96 divisors (see below), whose sum is σ = 525876624. Its totient is φ = 84096000.

The previous prime is 212131999. The next prime is 212132003. The reversal of 212132000 is 231212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2808976 + 209323024 = 1676^2 + 14468^2 .

It is not an unprimeable number, because it can be changed into a prime (212132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723854 + ... + 724146.

Almost surely, 2^212132000 is an apocalyptic number.

212132000 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 212132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262938312).

212132000 is an abundant number, since it is smaller than the sum of its proper divisors (313744624).

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

212132000 is a wasteful number, since it uses less digits than its factorization.

212132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

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

The square root of 212132000 is about 14564.7519717982. The cubic root of 212132000 is about 596.3969249125.

Adding to 212132000 its reverse (231212), we get a palindrome (212363212).

The spelling of 212132000 in words is "two hundred twelve million, one hundred thirty-two thousand".