212334000 has 160 divisors (see below), whose sum is σ = 701336064. Its totient is φ = 55238400.

The previous prime is 212333993. The next prime is 212334007. The reversal of 212334000 is 433212.

It is an interprime number because it is at equal distance from previous prime (212333993) and next prime (212334007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (212334007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257589 + ... + 258411.

Almost surely, 2^212334000 is an apocalyptic number.

212334000 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 212334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350668032).

212334000 is an abundant number, since it is smaller than the sum of its proper divisors (489002064).

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

212334000 is a wasteful number, since it uses less digits than its factorization.

212334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 212334000 is about 14571.6848716955. The cubic root of 212334000 is about 596.5861686533.

Adding to 212334000 its reverse (433212), we get a palindrome (212767212).

The spelling of 212334000 in words is "two hundred twelve million, three hundred thirty-four thousand".