122121212121 has 24 divisors (see below), whose sum is σ = 187370412840. Its totient is φ = 76380235776.

The previous prime is 122121212119. The next prime is 122121212131. The reversal of 122121212121 is 121212121221.

It can be written as a sum of positive squares in 4 ways, for example, as 28279467225 + 93841744896 = 168165^2 + 306336^2 .

It is not a de Polignac number, because 122121212121 - 2¹ = 122121212119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122121212094 and 122121212103.

It is not an unprimeable number, because it can be changed into a prime (122121212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227156 + ... + 1322933.

It is an arithmetic number, because the mean of its divisors is an integer number (7807100535).

Almost surely, 2^122121212121 is an apocalyptic number.

It is an amenable number.

122121212121 is a deficient number, since it is larger than the sum of its proper divisors (65249200719).

122121212121 is a wasteful number, since it uses less digits than its factorization.

122121212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550425 (or 2550422 counting only the distinct ones).

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

Adding to 122121212121 its reverse (121212121221), we get a palindrome (243333333342).

It can be divided in two parts, 12 and 2121212121, that multiplied together give a palindrome (25454545452).

The spelling of 122121212121 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty-one".