212541445200000 has 1536 divisors, whose sum is σ = 843367701012480. Its totient is φ = 46367354880000.

The previous prime is 212541445199947. The next prime is 212541445200013. The reversal of 212541445200000 is 2544145212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119204399109 + ... + 119204400891.

It is an arithmetic number, because the mean of its divisors is an integer number (549067513680).

Almost surely, 2^{212541445200000} is an apocalyptic number.

212541445200000 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 212541445200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421683850506240).

212541445200000 is an abundant number, since it is smaller than the sum of its proper divisors (630826255812480).

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

212541445200000 is an equidigital number, since it uses as much as digits as its factorization.

212541445200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 212541445200000 its reverse (2544145212), we get a palindrome (212543989345212).

The spelling of 212541445200000 in words is "two hundred twelve trillion, five hundred forty-one billion, four hundred forty-five million, two hundred thousand".