3221130031200 has 216 divisors, whose sum is σ = 11361560032368. Its totient is φ = 858737341440.

The previous prime is 3221130031199. The next prime is 3221130031243. The reversal of 3221130031200 is 21300311223.

3221130031200 is a `hidden beast` number, since 3 + 221 + 130 + 0 + 312 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 27640254 + ... + 27756546.

Almost surely, 2^{3221130031200} is an apocalyptic number.

3221130031200 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 3221130031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680780016184).

3221130031200 is an abundant number, since it is smaller than the sum of its proper divisors (8140430001168).

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

3221130031200 is a wasteful number, since it uses less digits than its factorization.

3221130031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120166 (or 120150 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3221130031200 its reverse (21300311223), we get a palindrome (3242430342423).

The spelling of 3221130031200 in words is "three trillion, two hundred twenty-one billion, one hundred thirty million, thirty-one thousand, two hundred".