120221021212001 has 8 divisors (see below), whose sum is σ = 123506115873000. Its totient is φ = 116952730104960.

The previous prime is 120221021211989. The next prime is 120221021212037. The reversal of 120221021212001 is 100212120122021.

It can be written as a sum of positive squares in 4 ways, for example, as 1329584261776 + 118891436950225 = 1153076^2 + 10903735^2 .

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 120221021212001 - 2¹⁰ = 120221021210977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120221021242001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4200873986 + ... + 4200902603.

It is an arithmetic number, because the mean of its divisors is an integer number (15438264484125).

Almost surely, 2^{120221021212001} is an apocalyptic number.

It is an amenable number.

120221021212001 is a deficient number, since it is larger than the sum of its proper divisors (3285094660999).

120221021212001 is an equidigital number, since it uses as much as digits as its factorization.

120221021212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8401776979.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120221021212001 its reverse (100212120122021), we get a palindrome (220433141334022).

The spelling of 120221021212001 in words is "one hundred twenty trillion, two hundred twenty-one billion, twenty-one million, two hundred twelve thousand, one".