3221430421200 has 240 divisors, whose sum is σ = 10370643831552. Its totient is φ = 854784000000.

The previous prime is 3221430421169. The next prime is 3221430421201. The reversal of 3221430421200 is 21240341223.

It is a happy number.

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

It is a super-2 number, since 2×3221430421200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221430421201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253230840 + ... + 253243560.

Almost surely, 2^{3221430421200} is an apocalyptic number.

3221430421200 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 3221430421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185321915776).

3221430421200 is an abundant number, since it is smaller than the sum of its proper divisors (7149213410352).

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

3221430421200 is a wasteful number, since it uses less digits than its factorization.

3221430421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13774 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3221430421200 its reverse (21240341223), we get a palindrome (3242670762423).

The spelling of 3221430421200 in words is "three trillion, two hundred twenty-one billion, four hundred thirty million, four hundred twenty-one thousand, two hundred".