212400 has 90 divisors (see below), whose sum is σ = 749580. Its totient is φ = 55680.

The previous prime is 212383. The next prime is 212411. The reversal of 212400 is 4212.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×212400² = 90227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

212400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3571 + ... + 3629.

2²¹²⁴⁰⁰ is an apocalyptic number.

212400 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 212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374790).

212400 is an abundant number, since it is smaller than the sum of its proper divisors (537180).

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

212400 is a wasteful number, since it uses less digits than its factorization.

212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 212400 is about 460.8687448721. The cubic root of 212400 is about 59.6647974752.

Adding to 212400 its reverse (4212), we get a palindrome (216612).

The spelling of 212400 in words is "two hundred twelve thousand, four hundred", and thus it is an iban number.