2124414131121 has 24 divisors (see below), whose sum is σ = 3231056791040. Its totient is φ = 1341339199200.

The previous prime is 2124414131113. The next prime is 2124414131149. The reversal of 2124414131121 is 1211314144212.

2124414131121 is a `hidden beast` number, since 2 + 1 + 244 + 1 + 413 + 1 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 2124414131121 - 2³ = 2124414131113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2124414131171) 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, 1251970 + ... + 2411691.

Almost surely, 2^{2124414131121} is an apocalyptic number.

It is an amenable number.

2124414131121 is a deficient number, since it is larger than the sum of its proper divisors (1106642659919).

2124414131121 is a wasteful number, since it uses less digits than its factorization.

2124414131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667077 (or 3667074 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 2124414131121 its reverse (1211314144212), we get a palindrome (3335728275333).

The spelling of 2124414131121 in words is "two trillion, one hundred twenty-four billion, four hundred fourteen million, one hundred thirty-one thousand, one hundred twenty-one".