212424320000 has 220 divisors, whose sum is σ = 553740946176. Its totient is φ = 81269760000.

The previous prime is 212424319967. The next prime is 212424320027. The reversal of 212424320000 is 23424212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14712785 + ... + 14727215.

Almost surely, 2^212424320000 is an apocalyptic number.

212424320000 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 212424320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276870473088).

212424320000 is an abundant number, since it is smaller than the sum of its proper divisors (341316626176).

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

212424320000 is an equidigital number, since it uses as much as digits as its factorization.

212424320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14494 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 212424320000 its reverse (23424212), we get a palindrome (212447744212).

The spelling of 212424320000 in words is "two hundred twelve billion, four hundred twenty-four million, three hundred twenty thousand".