212814000 has 320 divisors, whose sum is σ = 872801280. Its totient is φ = 48556800.

The previous prime is 212813989. The next prime is 212814001. The reversal of 212814000 is 418212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212814001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377719 + ... + 378281.

It is an arithmetic number, because the mean of its divisors is an integer number (2727504).

Almost surely, 2^212814000 is an apocalyptic number.

212814000 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 212814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436400640).

212814000 is an abundant number, since it is smaller than the sum of its proper divisors (659987280).

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

212814000 is a wasteful number, since it uses less digits than its factorization.

212814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 212814000 is about 14588.1458725912. The cubic root of 212814000 is about 597.0353757982.

It can be divided in two parts, 21281 and 4000, that added together give a square (25281 = 159²).

The spelling of 212814000 in words is "two hundred twelve million, eight hundred fourteen thousand".