212045344000 has 288 divisors, whose sum is σ = 616045248000. Its totient is φ = 72697497600.

The previous prime is 212045343971. The next prime is 212045344051. The reversal of 212045344000 is 443540212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 10966341 + ... + 10985659.

It is an arithmetic number, because the mean of its divisors is an integer number (2139046000).

Almost surely, 2^212045344000 is an apocalyptic number.

212045344000 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 212045344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308022624000).

212045344000 is an abundant number, since it is smaller than the sum of its proper divisors (403999904000).

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

212045344000 is an frugal number, since it uses more digits than its factorization.

212045344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19371 (or 19333 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 212045344000 its reverse (443540212), we get a palindrome (212488884212).

The spelling of 212045344000 in words is "two hundred twelve billion, forty-five million, three hundred forty-four thousand".