312123121520025 has 48 divisors (see below), whose sum is σ = 546405356836800. Its totient is φ = 156671762626560.

The previous prime is 312123121520011. The next prime is 312123121520047. The reversal of 312123121520025 is 520025121321213.

It is not a de Polignac number, because 312123121520025 - 2⁷ = 312123121519897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312123121519974 and 312123121520001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112988746 + ... + 115718204.

It is an arithmetic number, because the mean of its divisors is an integer number (11383444934100).

Almost surely, 2^{312123121520025} is an apocalyptic number.

It is an amenable number.

312123121520025 is a deficient number, since it is larger than the sum of its proper divisors (234282235316775).

312123121520025 is a wasteful number, since it uses less digits than its factorization.

312123121520025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819178 (or 2819173 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 312123121520025 its reverse (520025121321213), we get a palindrome (832148242841238).

The spelling of 312123121520025 in words is "three hundred twelve trillion, one hundred twenty-three billion, one hundred twenty-one million, five hundred twenty thousand, twenty-five".