3221212321200 has 240 divisors, whose sum is σ = 10386260834976. Its totient is φ = 853366579200.

The previous prime is 3221212321183. The next prime is 3221212321247. The reversal of 3221212321200 is 21232121223.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307450362 + ... + 307460838.

Almost surely, 2^{3221212321200} is an apocalyptic number.

3221212321200 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 3221212321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193130417488).

3221212321200 is an abundant number, since it is smaller than the sum of its proper divisors (7165048513776).

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

3221212321200 is a wasteful number, since it uses less digits than its factorization.

3221212321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152 (or 12141 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3221212321200 its reverse (21232121223), we get a palindrome (3242444442423).

The spelling of 3221212321200 in words is "three trillion, two hundred twenty-one billion, two hundred twelve million, three hundred twenty-one thousand, two hundred".