212343222400400 has 720 divisors, whose sum is σ = 637889643307008. Its totient is φ = 66506469120000.

The previous prime is 212343222400381. The next prime is 212343222400409. The reversal of 212343222400400 is 4004222343212.

It is not an unprimeable number, because it can be changed into a prime (212343222400409) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 74480258975 + ... + 74480261825.

Almost surely, 2^{212343222400400} is an apocalyptic number.

212343222400400 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 212343222400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318944821653504).

212343222400400 is an abundant number, since it is smaller than the sum of its proper divisors (425546420906608).

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

212343222400400 is a wasteful number, since it uses less digits than its factorization.

212343222400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 212343222400400 its reverse (4004222343212), we get a palindrome (216347444743612).

The spelling of 212343222400400 in words is "two hundred twelve trillion, three hundred forty-three billion, two hundred twenty-two million, four hundred thousand, four hundred".