12121412121 has 144 divisors (see below), whose sum is σ = 23353948800. Its totient is φ = 5883134976.

The previous prime is 12121412111. The next prime is 12121412129.

12121412121 is a `hidden beast` number, since 12 + 121 + 412 + 121 = 666.

12121412121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12121412121 - 2²² = 12117217817 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12121412094 and 12121412103.

It is not an unprimeable number, because it can be changed into a prime (12121412129) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21302725 + ... + 21303293.

It is an arithmetic number, because the mean of its divisors is an integer number (162180200).

Almost surely, 2^12121412121 is an apocalyptic number.

It is an amenable number.

12121412121 is a deficient number, since it is larger than the sum of its proper divisors (11232536679).

12121412121 is a wasteful number, since it uses less digits than its factorization.

12121412121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 648 counting only the distinct ones).

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

The spelling of 12121412121 in words is "twelve billion, one hundred twenty-one million, four hundred twelve thousand, one hundred twenty-one".