321213202400002 has 256 divisors, whose sum is σ = 558783748800000. Its totient is φ = 137149696696320.

The previous prime is 321213202399987. The next prime is 321213202400009. The reversal of 321213202400002 is 200004202312123.

It is a super-2 number, since 2×321213202400002² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (321213202400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 614174382913 + ... + 614174383435.

It is an arithmetic number, because the mean of its divisors is an integer number (2182749018750).

Almost surely, 2^{321213202400002} is an apocalyptic number.

321213202400002 is a deficient number, since it is larger than the sum of its proper divisors (237570546399998).

321213202400002 is a wasteful number, since it uses less digits than its factorization.

321213202400002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 321213202400002 its reverse (200004202312123), we get a palindrome (521217404712125).

The spelling of 321213202400002 in words is "three hundred twenty-one trillion, two hundred thirteen billion, two hundred two million, four hundred thousand, two".