1312122123121 has 32 divisors (see below), whose sum is σ = 1359144000000. Its totient is φ = 1266138611712.

The previous prime is 1312122123113. The next prime is 1312122123181. The reversal of 1312122123121 is 1213212212131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1312122123121 - 2³ = 1312122123113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1312122123092 and 1312122123101.

It is not an unprimeable number, because it can be changed into a prime (1312122123181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050537505 + ... + 1050538753.

It is an arithmetic number, because the mean of its divisors is an integer number (42473250000).

Almost surely, 2^{1312122123121} is an apocalyptic number.

It is an amenable number.

1312122123121 is a deficient number, since it is larger than the sum of its proper divisors (47021876879).

1312122123121 is a wasteful number, since it uses less digits than its factorization.

1312122123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521.

The product of its digits is 288, while the sum is 22.

Adding to 1312122123121 its reverse (1213212212131), we get a palindrome (2525334335252).

The spelling of 1312122123121 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty-one".