2205312314121 has 24 divisors (see below), whose sum is σ = 3640600304640. Its totient is φ = 1260149132736.

The previous prime is 2205312314089. The next prime is 2205312314237. The reversal of 2205312314121 is 1214132135022.

It is a happy number.

2205312314121 is a `hidden beast` number, since 2 + 2 + 0 + 531 + 2 + 3 + 1 + 4 + 121 = 666.

It is not a de Polignac number, because 2205312314121 - 2⁵ = 2205312314089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2205312316121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2482045 + ... + 3251333.

It is an arithmetic number, because the mean of its divisors is an integer number (151691679360).

Almost surely, 2^{2205312314121} is an apocalyptic number.

2205312314121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2205312314121 is a deficient number, since it is larger than the sum of its proper divisors (1435287990519).

2205312314121 is a wasteful number, since it uses less digits than its factorization.

2205312314121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814805 (or 814802 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2205312314121 its reverse (1214132135022), we get a palindrome (3419444449143).

The spelling of 2205312314121 in words is "two trillion, two hundred five billion, three hundred twelve million, three hundred fourteen thousand, one hundred twenty-one".