212400000 has 288 divisors, whose sum is σ = 776903400. Its totient is φ = 55680000.

The previous prime is 212399981. The next prime is 212400037. The reversal of 212400000 is 4212.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×212400000² = 90227520000000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3599971 + ... + 3600029.

Almost surely, 2^212400000 is an apocalyptic number.

212400000 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 212400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388451700).

212400000 is an abundant number, since it is smaller than the sum of its proper divisors (564503400).

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

212400000 is an frugal number, since it uses more digits than its factorization.

212400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

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

The square root of 212400000 is about 14573.9493617893. The cubic root of 212400000 is about 596.6479747516.

Adding to 212400000 its reverse (4212), we get a palindrome (212404212).

The spelling of 212400000 in words is "two hundred twelve million, four hundred thousand".