321012030000400 has 120 divisors (see below), whose sum is σ = 771604294253760. Its totient is φ = 128342741537280.

The previous prime is 321012030000391. The next prime is 321012030000401. The reversal of 321012030000400 is 4000030210123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (321012030000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10511528331 + ... + 10511558869.

It is an arithmetic number, because the mean of its divisors is an integer number (6430035785448).

Almost surely, 2^{321012030000400} is an apocalyptic number.

It is an amenable number.

321012030000400 is an abundant number, since it is smaller than the sum of its proper divisors (450592264253360).

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

321012030000400 is a wasteful number, since it uses less digits than its factorization.

321012030000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42401 (or 42390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 321012030000400 its reverse (4000030210123), we get a palindrome (325012060210523).

The spelling of 321012030000400 in words is "three hundred twenty-one trillion, twelve billion, thirty million, four hundred", and thus it is an aban number.