120220120122121 has 8 divisors (see below), whose sum is σ = 125160673006664. Its totient is φ = 115368586208640.

The previous prime is 120220120122107. The next prime is 120220120122127. The reversal of 120220120122121 is 121221021022021.

It can be written as a sum of positive squares in 4 ways, for example, as 53256994512121 + 66963125610000 = 7297739^2 + 8183100^2 .

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 120220120122121 - 2³¹ = 120217972638473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120220120122127) 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, 22254740010 + ... + 22254745411.

It is an arithmetic number, because the mean of its divisors is an integer number (15645084125833).

Almost surely, 2^{120220120122121} is an apocalyptic number.

It is an amenable number.

120220120122121 is a deficient number, since it is larger than the sum of its proper divisors (4940552884543).

120220120122121 is an equidigital number, since it uses as much as digits as its factorization.

120220120122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44509485531.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 120220120122121 its reverse (121221021022021), we get a palindrome (241441141144142).

The spelling of 120220120122121 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".