121142323241121 has 64 divisors (see below), whose sum is σ = 199581817075200. Its totient is φ = 63647223054336.

The previous prime is 121142323241087. The next prime is 121142323241153.

121142323241121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121142323241121 - 2¹³ = 121142323232929 is a prime.

It is a super-3 number, since 3×121142323241121³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121142323241161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1845832935 + ... + 1845898563.

It is an arithmetic number, because the mean of its divisors is an integer number (3118465891800).

Almost surely, 2^{121142323241121} is an apocalyptic number.

It is an amenable number.

121142323241121 is a deficient number, since it is larger than the sum of its proper divisors (78439493834079).

121142323241121 is a wasteful number, since it uses less digits than its factorization.

121142323241121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92218.

The product of its digits is 4608, while the sum is 30.

The spelling of 121142323241121 in words is "one hundred twenty-one trillion, one hundred forty-two billion, three hundred twenty-three million, two hundred forty-one thousand, one hundred twenty-one".