122120212200121 has 8 divisors (see below), whose sum is σ = 122132746710504. Its totient is φ = 122107678371840.

The previous prime is 122120212200097. The next prime is 122120212200241. The reversal of 122120212200121 is 121002212021221.

It can be written as a sum of positive squares in 4 ways, for example, as 2457178516521 + 119663033683600 = 1567539^2 + 10939060^2 .

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 122120212200121 - 2⁴¹ = 119921188944569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120212206121) 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, 405941041 + ... + 406241761.

It is an arithmetic number, because the mean of its divisors is an integer number (15266593338813).

Almost surely, 2^{122120212200121} is an apocalyptic number.

It is an amenable number.

122120212200121 is a deficient number, since it is larger than the sum of its proper divisors (12534510383).

122120212200121 is a wasteful number, since it uses less digits than its factorization.

122120212200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341051.

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

Adding to 122120212200121 its reverse (121002212021221), we get a palindrome (243122424221342).

The spelling of 122120212200121 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twelve million, two hundred thousand, one hundred twenty-one".