212348800 has 48 divisors (see below), whose sum is σ = 524575800. Its totient is φ = 84938240.

The previous prime is 212348797. The next prime is 212348803. The reversal of 212348800 is 8843212.

It is an interprime number because it is at equal distance from previous prime (212348797) and next prime (212348803).

It is a super-2 number, since 2×212348800² = 90184025722880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212348803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29980 + ... + 36379.

Almost surely, 2^212348800 is an apocalyptic number.

212348800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212348800 is an abundant number, since it is smaller than the sum of its proper divisors (312227000).

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

212348800 is an equidigital number, since it uses as much as digits as its factorization.

212348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66383 (or 66366 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 212348800 is about 14572.1926970515. The cubic root of 212348800 is about 596.6000293165.

The spelling of 212348800 in words is "two hundred twelve million, three hundred forty-eight thousand, eight hundred".