121164525461121 has 16 divisors (see below), whose sum is σ = 167685426574848. Its totient is φ = 77738779468800.

The previous prime is 121164525461107. The next prime is 121164525461123.

121164525461121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121164525461121 - 2²⁷ = 121164391243393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121164525461123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3599000736 + ... + 3599034401.

It is an arithmetic number, because the mean of its divisors is an integer number (10480339160928).

Almost surely, 2^{121164525461121} is an apocalyptic number.

It is an amenable number.

121164525461121 is a deficient number, since it is larger than the sum of its proper divisors (46520901113727).

121164525461121 is a wasteful number, since it uses less digits than its factorization.

121164525461121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198035352.

The product of its digits is 115200, while the sum is 42.

The spelling of 121164525461121 in words is "one hundred twenty-one trillion, one hundred sixty-four billion, five hundred twenty-five million, four hundred sixty-one thousand, one hundred twenty-one".