212444430000 has 800 divisors, whose sum is σ = 786528230400. Its totient is φ = 48921600000.

The previous prime is 212444429993. The next prime is 212444430001. The reversal of 212444430000 is 34444212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (212444430001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 756029860 + ... + 756030140.

It is an arithmetic number, because the mean of its divisors is an integer number (983160288).

Almost surely, 2^212444430000 is an apocalyptic number.

212444430000 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 212444430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393264115200).

212444430000 is an abundant number, since it is smaller than the sum of its proper divisors (574083800400).

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

212444430000 is a wasteful number, since it uses less digits than its factorization.

212444430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 212444430000 its reverse (34444212), we get a palindrome (212478874212).

The spelling of 212444430000 in words is "two hundred twelve billion, four hundred forty-four million, four hundred thirty thousand".