350430212221200 has 360 divisors, whose sum is σ = 1225375683124320. Its totient is φ = 92736658022400.

The previous prime is 350430212221183. The next prime is 350430212221249. The reversal of 350430212221200 is 2122212034053.

350430212221200 is a `hidden beast` number, since 3 + 5 + 0 + 430 + 2 + 1 + 2 + 2 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 315846624 + ... + 316954176.

It is an arithmetic number, because the mean of its divisors is an integer number (3403821342012).

Almost surely, 2^{350430212221200} is an apocalyptic number.

350430212221200 is a gapful number since it is divisible by the number (30) 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 350430212221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612687841562160).

350430212221200 is an abundant number, since it is smaller than the sum of its proper divisors (874945470903120).

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

350430212221200 is a wasteful number, since it uses less digits than its factorization.

350430212221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108247 (or 1108233 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 350430212221200 its reverse (2122212034053), we get a palindrome (352552424255253).

The spelling of 350430212221200 in words is "three hundred fifty trillion, four hundred thirty billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".