120221131300321 has 8 divisors (see below), whose sum is σ = 121304607396264. Its totient is φ = 119137998577920.

The previous prime is 120221131300313. The next prime is 120221131300331. The reversal of 120221131300321 is 123003131122021.

It can be written as a sum of positive squares in 4 ways, for example, as 245583678096 + 119975547622225 = 495564^2 + 10953335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120221131300321 - 2³ = 120221131300313 is a prime.

It is a super-2 number, since 2×120221131300321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120221131300292 and 120221131300301.

It is not an unprimeable number, because it can be changed into a prime (120221131300331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85139970 + ... + 86540491.

It is an arithmetic number, because the mean of its divisors is an integer number (15163075924533).

Almost surely, 2^{120221131300321} is an apocalyptic number.

It is an amenable number.

120221131300321 is a deficient number, since it is larger than the sum of its proper divisors (1083476095943).

120221131300321 is a wasteful number, since it uses less digits than its factorization.

120221131300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171686771.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 120221131300321 its reverse (123003131122021), we get a palindrome (243224262422342).

The spelling of 120221131300321 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred thirty-one million, three hundred thousand, three hundred twenty-one".