322121110120020 has 144 divisors (see below), whose sum is σ = 978616472193360. Its totient is φ = 85765795872768.

The previous prime is 322121110119983. The next prime is 322121110120133. The reversal of 322121110120020 is 20021011121223.

322121110120020 is a `hidden beast` number, since 3 + 221 + 211 + 10 + 1 + 200 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 138754358595216 + 183366751524804 = 11779404^2 + 13541298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 322121110119975 and 322121110120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352880032 + ... + 353791688.

It is an arithmetic number, because the mean of its divisors is an integer number (6795947723565).

Almost surely, 2^{322121110120020} is an apocalyptic number.

322121110120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322121110120020 is an abundant number, since it is smaller than the sum of its proper divisors (656495362073340).

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

322121110120020 is a wasteful number, since it uses less digits than its factorization.

322121110120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914714 (or 914709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 322121110120020 its reverse (20021011121223), we get a palindrome (342142121241243).

The spelling of 322121110120020 in words is "three hundred twenty-two trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty thousand, twenty".