211412200 has 48 divisors (see below), whose sum is σ = 494170380. Its totient is φ = 84111360.

The previous prime is 211412197. The next prime is 211412203. The reversal of 211412200 is 2214112.

It is a happy number.

211412200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211412197) and next prime (211412203).

It can be written as a sum of positive squares in 6 ways, for example, as 127103076 + 84309124 = 11274^2 + 9182^2 .

It is not an unprimeable number, because it can be changed into a prime (211412203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35862 + ... + 41338.

Almost surely, 2^211412200 is an apocalyptic number.

211412200 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 211412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247085190).

211412200 is an abundant number, since it is smaller than the sum of its proper divisors (282758180).

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

211412200 is a wasteful number, since it uses less digits than its factorization.

211412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 211412200 is about 14540.0206327226. The cubic root of 211412200 is about 595.7216017311.

Adding to 211412200 its reverse (2214112), we get a palindrome (213626312).

The spelling of 211412200 in words is "two hundred eleven million, four hundred twelve thousand, two hundred".