211412000 has 96 divisors (see below), whose sum is σ = 550171440. Its totient is φ = 79564800.

The previous prime is 211411999. The next prime is 211412009. The reversal of 211412000 is 214112.

It can be written as a sum of positive squares in 8 ways, for example, as 4857616 + 206554384 = 2204^2 + 14372^2 .

It is not an unprimeable number, because it can be changed into a prime (211412009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66446 + ... + 69554.

Almost surely, 2^211412000 is an apocalyptic number.

211412000 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 211412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275085720).

211412000 is an abundant number, since it is smaller than the sum of its proper divisors (338759440).

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

211412000 is a wasteful number, since it uses less digits than its factorization.

211412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 211412000 is about 14540.0137551517. The cubic root of 211412000 is about 595.7214138764.

Adding to 211412000 its reverse (214112), we get a palindrome (211626112).

The spelling of 211412000 in words is "two hundred eleven million, four hundred twelve thousand".