212324400 has 90 divisors (see below), whose sum is σ = 736837140. Its totient is φ = 56618880.

The previous prime is 212324393. The next prime is 212324419. The reversal of 212324400 is 4423212.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25890 + ... + 33089.

Almost surely, 2^212324400 is an apocalyptic number.

212324400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212324400 is an abundant number, since it is smaller than the sum of its proper divisors (524512740).

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

212324400 is a wasteful number, since it uses less digits than its factorization.

212324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59003 (or 58989 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212324400 is about 14571.3554620015. The cubic root of 212324400 is about 596.5771776085.

Adding to 212324400 its reverse (4423212), we get a palindrome (216747612).

The spelling of 212324400 in words is "two hundred twelve million, three hundred twenty-four thousand, four hundred".