321223120400 has 120 divisors (see below), whose sum is σ = 949832165184. Its totient is φ = 101661811200.

The previous prime is 321223120397. The next prime is 321223120411. The reversal of 321223120400 is 4021322123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4376006 + ... + 4448805.

Almost surely, 2^321223120400 is an apocalyptic number.

It is an amenable number.

321223120400 is an abundant number, since it is smaller than the sum of its proper divisors (628609044784).

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

321223120400 is a wasteful number, since it uses less digits than its factorization.

321223120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824849 (or 8824838 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 321223120400 its reverse (4021322123), we get a palindrome (325244442523).

The spelling of 321223120400 in words is "three hundred twenty-one billion, two hundred twenty-three million, one hundred twenty thousand, four hundred".