12121122112121 has 32 divisors (see below), whose sum is σ = 13703918570496. Its totient is φ = 10625653080000.

The previous prime is 12121122112103. The next prime is 12121122112123.

It is a happy number.

12121122112121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12121122112121 - 2¹⁰ = 12121122111097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121122112093 and 12121122112102.

It is not an unprimeable number, because it can be changed into a prime (12121122112123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16211636 + ... + 16942826.

It is an arithmetic number, because the mean of its divisors is an integer number (428247455328).

Almost surely, 2^{12121122112121} is an apocalyptic number.

12121122112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121122112121 is a deficient number, since it is larger than the sum of its proper divisors (1582796458375).

12121122112121 is a wasteful number, since it uses less digits than its factorization.

12121122112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731693.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 1212112 and 2112121, that added together give a palindrome (3324233).

The spelling of 12121122112121 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".