212842800 has 90 divisors (see below), whose sum is σ = 738636132. Its totient is φ = 56757120.

The previous prime is 212842783. The next prime is 212842801. The reversal of 212842800 is 8248212.

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

It is not an unprimeable number, because it can be changed into a prime (212842801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25962 + ... + 33161.

Almost surely, 2^212842800 is an apocalyptic number.

212842800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212842800 is an abundant number, since it is smaller than the sum of its proper divisors (525793332).

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

212842800 is a wasteful number, since it uses less digits than its factorization.

212842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59147 (or 59133 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 212842800 is about 14589.1329420223. The cubic root of 212842800 is about 597.0623067383.

The spelling of 212842800 in words is "two hundred twelve million, eight hundred forty-two thousand, eight hundred".