3221013212001 has 24 divisors (see below), whose sum is σ = 5010572647080. Its totient is φ = 1982119389696.

The previous prime is 3221013211937. The next prime is 3221013212009. The reversal of 3221013212001 is 1002123101223.

3221013212001 is a `hidden beast` number, since 322 + 1 + 0 + 1 + 321 + 20 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67987955025 + 3153025256976 = 260745^2 + 1775676^2 .

It is not a de Polignac number, because 3221013212001 - 2⁶ = 3221013211937 is a prime.

It is a super-2 number, since 2×3221013212001² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3221013212009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5688415 + ... + 6228971.

It is an arithmetic number, because the mean of its divisors is an integer number (208773860295).

Almost surely, 2^{3221013212001} is an apocalyptic number.

It is an amenable number.

3221013212001 is a deficient number, since it is larger than the sum of its proper divisors (1789559435079).

3221013212001 is a wasteful number, since it uses less digits than its factorization.

3221013212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591505 (or 591502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3221013212001 its reverse (1002123101223), we get a palindrome (4223136313224).

The spelling of 3221013212001 in words is "three trillion, two hundred twenty-one billion, thirteen million, two hundred twelve thousand, one".