211212400 has 120 divisors (see below), whose sum is σ = 584195744. Its totient is φ = 71884800.

The previous prime is 211212383. The next prime is 211212409. The reversal of 211212400 is 4212112.

It is a happy number.

It is a super-2 number, since 2×211212400² = 89221355827520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212409) 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 23 ways as a sum of consecutive naturals, for example, 674644 + ... + 674956.

Almost surely, 2^211212400 is an apocalyptic number.

211212400 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 211212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292097872).

211212400 is an abundant number, since it is smaller than the sum of its proper divisors (372983344).

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

211212400 is a wasteful number, since it uses less digits than its factorization.

211212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

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

The square root of 211212400 is about 14533.1483168651. The cubic root of 211212400 is about 595.5338757444.

Adding to 211212400 its reverse (4212112), we get a palindrome (215424512).

The spelling of 211212400 in words is "two hundred eleven million, two hundred twelve thousand, four hundred".