312125445401201 has 2 divisors, whose sum is σ = 312125445401202. Its totient is φ = 312125445401200.

The previous prime is 312125445401183. The next prime is 312125445401221. The reversal of 312125445401201 is 102104544521213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221130253461601 + 90995191939600 = 14870449^2 + 9539140^2 .

It is a cyclic number.

It is not a de Polignac number, because 312125445401201 - 2¹⁰ = 312125445400177 is a prime.

It is not a weakly prime, because it can be changed into another prime (312125445401221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156062722700600 + 156062722700601.

It is an arithmetic number, because the mean of its divisors is an integer number (156062722700601).

Almost surely, 2^{312125445401201} is an apocalyptic number.

It is an amenable number.

312125445401201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312125445401201 is an equidigital number, since it uses as much as digits as its factorization.

312125445401201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 312125445401201 its reverse (102104544521213), we get a palindrome (414229989922414).

The spelling of 312125445401201 in words is "three hundred twelve trillion, one hundred twenty-five billion, four hundred forty-five million, four hundred one thousand, two hundred one".