212096400 has 60 divisors (see below), whose sum is σ = 679419312. Its totient is φ = 56558720.

The previous prime is 212096399. The next prime is 212096431. The reversal of 212096400 is 4690212.

212096400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87174 + ... + 89573.

Almost surely, 2^212096400 is an apocalyptic number.

212096400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212096400 is an abundant number, since it is smaller than the sum of its proper divisors (467322912).

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

212096400 is a wasteful number, since it uses less digits than its factorization.

212096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176768 (or 176757 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 212096400 is about 14563.5297919151. The cubic root of 212096400 is about 596.3635605948.

The spelling of 212096400 in words is "two hundred twelve million, ninety-six thousand, four hundred".