321999390161100 has 360 divisors, whose sum is σ = 1044934139497248. Its totient is φ = 85772836224000.

The previous prime is 321999390161083. The next prime is 321999390161167. The reversal of 321999390161100 is 1161093999123.

It is a happy number.

321999390161100 is a `hidden beast` number, since 3 + 2 + 1 + 9 + 99 + 390 + 1 + 61 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35973561625 + ... + 35973570575.

Almost surely, 2^{321999390161100} is an apocalyptic number.

321999390161100 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 321999390161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522467069748624).

321999390161100 is an abundant number, since it is smaller than the sum of its proper divisors (722934749336148).

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

321999390161100 is a wasteful number, since it uses less digits than its factorization.

321999390161100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13327 (or 13311 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 54.

The spelling of 321999390161100 in words is "three hundred twenty-one trillion, nine hundred ninety-nine billion, three hundred ninety million, one hundred sixty-one thousand, one hundred".