12121233212121 has 128 divisors (see below), whose sum is σ = 18415245680640. Its totient is φ = 7029794304000.

The previous prime is 12121233212071. The next prime is 12121233212177.

12121233212121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12121233212121 - 2¹⁴ = 12121233195737 is a prime.

It is a super-3 number, since 3×12121233212121³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121233212091 and 12121233212100.

It is not an unprimeable number, because it can be changed into a prime (12121233212321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2633331006 + ... + 2633335608.

It is an arithmetic number, because the mean of its divisors is an integer number (143869106880).

Almost surely, 2^{12121233212121} is an apocalyptic number.

12121233212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121233212121 is a deficient number, since it is larger than the sum of its proper divisors (6294012468519).

12121233212121 is a wasteful number, since it uses less digits than its factorization.

12121233212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1212123 and 3212121, that added together give a palindrome (4424244).

The spelling of 12121233212121 in words is "twelve trillion, one hundred twenty-one billion, two hundred thirty-three million, two hundred twelve thousand, one hundred twenty-one".