212004400 has 60 divisors (see below), whose sum is σ = 515864800. Its totient is φ = 83715840.

The previous prime is 212004371. The next prime is 212004427. The reversal of 212004400 is 4400212.

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 11 ways as a sum of consecutive naturals, for example, 28246 + ... + 34954.

Almost surely, 2^212004400 is an apocalyptic number.

212004400 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 212004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257932400).

212004400 is an abundant number, since it is smaller than the sum of its proper divisors (303860400).

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

212004400 is a wasteful number, since it uses less digits than its factorization.

212004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 212004400 is about 14560.3708743974. The cubic root of 212004400 is about 596.2773209063.

Adding to 212004400 its reverse (4400212), we get a palindrome (216404612).

It can be divided in two parts, 21200 and 4400, that added together give a square (25600 = 160²).

The spelling of 212004400 in words is "two hundred twelve million, four thousand, four hundred".