212561034400000 has 1296 divisors, whose sum is σ = 640008765317376. Its totient is φ = 69808128000000.

The previous prime is 212561034399887. The next prime is 212561034400079. The reversal of 212561034400000 is 4430165212.

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 143 ways as a sum of consecutive naturals, for example, 69898398480 + ... + 69898401520.

It is an arithmetic number, because the mean of its divisors is an integer number (493833923856).

Almost surely, 2^{212561034400000} is an apocalyptic number.

212561034400000 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 212561034400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320004382658688).

212561034400000 is an abundant number, since it is smaller than the sum of its proper divisors (427447730917376).

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

212561034400000 is an equidigital number, since it uses as much as digits as its factorization.

212561034400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 212561034400000 its reverse (4430165212), we get a palindrome (212565464565212).

The spelling of 212561034400000 in words is "two hundred twelve trillion, five hundred sixty-one billion, thirty-four million, four hundred thousand".