212400320 has 112 divisors (see below), whose sum is σ = 559173888. Its totient is φ = 76200960.

The previous prime is 212400311. The next prime is 212400323. The reversal of 212400320 is 23004212.

It is a super-2 number, since 2×212400320² = 90227791872204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212400295 and 212400304.

It is not an unprimeable number, because it can be changed into a prime (212400323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291797 + ... + 292523.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624).

Almost surely, 2^212400320 is an apocalyptic number.

212400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586944).

212400320 is an abundant number, since it is smaller than the sum of its proper divisors (346773568).

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

212400320 is a wasteful number, since it uses less digits than its factorization.

212400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 212400320 is about 14573.9603402781. The cubic root of 212400320 is about 596.6482743863.

Adding to 212400320 its reverse (23004212), we get a palindrome (235404532).

The spelling of 212400320 in words is "two hundred twelve million, four hundred thousand, three hundred twenty".