212334400 has 42 divisors (see below), whose sum is σ = 522479270. Its totient is φ = 84933120.

The previous prime is 212334389. The next prime is 212334427. The reversal of 212334400 is 4433212.

It can be written as a sum of positive squares in 3 ways, for example, as 31270464 + 181063936 = 5592^2 + 13456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64755 + ... + 67954.

Almost surely, 2^212334400 is an apocalyptic number.

212334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212334400 is an abundant number, since it is smaller than the sum of its proper divisors (310144870).

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

212334400 is a wasteful number, since it uses less digits than its factorization.

212334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132731 (or 132716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 212334400 is about 14571.6985969378. The cubic root of 212334400 is about 596.5865432743.

Adding to 212334400 its reverse (4433212), we get a palindrome (216767612).

The spelling of 212334400 in words is "two hundred twelve million, three hundred thirty-four thousand, four hundred".