312201321125 has 16 divisors (see below), whose sum is σ = 389913741360. Its totient is φ = 249577408000.

The previous prime is 312201321011. The next prime is 312201321127. The reversal of 312201321125 is 521123102213.

It can be written as a sum of positive squares in 8 ways, for example, as 60516492001 + 251684829124 = 246001^2 + 501682^2 .

It is not a de Polignac number, because 312201321125 - 2²⁸ = 311932885669 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312201321125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312201321127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747440 + ... + 1087689.

It is an arithmetic number, because the mean of its divisors is an integer number (24369608835).

Almost surely, 2^312201321125 is an apocalyptic number.

It is an amenable number.

312201321125 is a deficient number, since it is larger than the sum of its proper divisors (77712420235).

312201321125 is a wasteful number, since it uses less digits than its factorization.

312201321125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836505 (or 1836495 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 312201321125 its reverse (521123102213), we get a palindrome (833324423338).

The spelling of 312201321125 in words is "three hundred twelve billion, two hundred one million, three hundred twenty-one thousand, one hundred twenty-five".