212522144000 has 216 divisors, whose sum is σ = 558780302808. Its totient is φ = 80530329600.

The previous prime is 212522143993. The next prime is 212522144039. The reversal of 212522144000 is 441225212.

It can be written as a sum of positive squares in 4 ways, for example, as 126517504 + 212395626496 = 11248^2 + 460864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11542802 + ... + 11561198.

Almost surely, 2^212522144000 is an apocalyptic number.

212522144000 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 212522144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279390151404).

212522144000 is an abundant number, since it is smaller than the sum of its proper divisors (346258158808).

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

212522144000 is an equidigital number, since it uses as much as digits as its factorization.

212522144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18466 (or 18423 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 212522144000 its reverse (441225212), we get a palindrome (212963369212).

The spelling of 212522144000 in words is "two hundred twelve billion, five hundred twenty-two million, one hundred forty-four thousand".