121212122121 has 24 divisors (see below), whose sum is σ = 182914884360. Its totient is φ = 77249088000.

The previous prime is 121212122107. The next prime is 121212122153. The reversal of 121212122121 is 121221212121.

It can be written as a sum of positive squares in 4 ways, for example, as 44969867721 + 76242254400 = 212061^2 + 276120^2 .

It is not a de Polignac number, because 121212122121 - 2⁵ = 121212122089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121212122094 and 121212122103.

It is not an unprimeable number, because it can be changed into a prime (121212122021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2272720 + ... + 2325441.

It is an arithmetic number, because the mean of its divisors is an integer number (7621453515).

Almost surely, 2^121212122121 is an apocalyptic number.

It is an amenable number.

121212122121 is a deficient number, since it is larger than the sum of its proper divisors (61702762239).

121212122121 is a wasteful number, since it uses less digits than its factorization.

121212122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598297 (or 4598294 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 121212122121 its reverse (121221212121), we get a palindrome (242433334242).

The spelling of 121212122121 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".