120012020122001 has 12 divisors (see below), whose sum is σ = 139609884199140. Its totient is φ = 102864450648960.

The previous prime is 120012020121989. The next prime is 120012020122031. The reversal of 120012020122001 is 100221020210021.

It can be written as a sum of positive squares in 2 ways, for example, as 71611113652225 + 48400906469776 = 8462335^2 + 6957076^2 .

It is not a de Polignac number, because 120012020122001 - 2¹⁴ = 120012020105617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120012020122031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33955916 + ... + 37323293.

It is an arithmetic number, because the mean of its divisors is an integer number (11634157016595).

Almost surely, 2^{120012020122001} is an apocalyptic number.

It is an amenable number.

120012020122001 is a deficient number, since it is larger than the sum of its proper divisors (19597864077139).

120012020122001 is an equidigital number, since it uses as much as digits as its factorization.

120012020122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71313584 (or 71313577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120012020122001 its reverse (100221020210021), we get a palindrome (220233040332022).

The spelling of 120012020122001 in words is "one hundred twenty trillion, twelve billion, twenty million, one hundred twenty-two thousand, one".