312301305200045 has 32 divisors (see below), whose sum is σ = 435575815718400. Its totient is φ = 210528309761280.

The previous prime is 312301305199991. The next prime is 312301305200047. The reversal of 312301305200045 is 540002503103213.

It is a happy number.

It is not a de Polignac number, because 312301305200045 - 2³⁰ = 312300231458221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312301305199990 and 312301305200017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312301305200047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179182262 + ... + 180916791.

It is an arithmetic number, because the mean of its divisors is an integer number (13611744241200).

Almost surely, 2^{312301305200045} is an apocalyptic number.

312301305200045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312301305200045 is a deficient number, since it is larger than the sum of its proper divisors (123274510518355).

312301305200045 is a wasteful number, since it uses less digits than its factorization.

312301305200045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360099485.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 312301305200045 its reverse (540002503103213), we get a palindrome (852303808303258).

The spelling of 312301305200045 in words is "three hundred twelve trillion, three hundred one billion, three hundred five million, two hundred thousand, forty-five".