120120000111121 has 16 divisors (see below), whose sum is σ = 126004812123600. Its totient is φ = 114352393171968.

The previous prime is 120120000111119. The next prime is 120120000111157. The reversal of 120120000111121 is 121111000021021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 106572867025 + 120013427244096 = 326455^2 + 10955064^2 .

It is a cyclic number.

It is not a de Polignac number, because 120120000111121 - 2¹ = 120120000111119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120120000111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2543476 + ... + 15706981.

It is an arithmetic number, because the mean of its divisors is an integer number (7875300757725).

Almost surely, 2^{120120000111121} is an apocalyptic number.

It is an amenable number.

120120000111121 is a deficient number, since it is larger than the sum of its proper divisors (5884812012479).

120120000111121 is a wasteful number, since it uses less digits than its factorization.

120120000111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18253668.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120120000111121 its reverse (121111000021021), we get a palindrome (241231000132142).

The spelling of 120120000111121 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred eleven thousand, one hundred twenty-one".