3221331300000 has 864 divisors, whose sum is σ = 12611895162048. Its totient is φ = 773376000000.

The previous prime is 3221331299867. The next prime is 3221331300017. The reversal of 3221331300000 is 31331223.

3221331300000 is a `hidden beast` number, since 32 + 2 + 1 + 331 + 300 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1059298480 + ... + 1059301520.

It is an arithmetic number, because the mean of its divisors is an integer number (14597100882).

Almost surely, 2^{3221331300000} is an apocalyptic number.

3221331300000 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 3221331300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305947581024).

3221331300000 is an abundant number, since it is smaller than the sum of its proper divisors (9390563862048).

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

3221331300000 is a wasteful number, since it uses less digits than its factorization.

3221331300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3221331300000 its reverse (31331223), we get a palindrome (3221362631223).

The spelling of 3221331300000 in words is "three trillion, two hundred twenty-one billion, three hundred thirty-one million, three hundred thousand".