312125534110205 has 32 divisors (see below), whose sum is σ = 381763663630560. Its totient is φ = 244930031124480.

The previous prime is 312125534110193. The next prime is 312125534110219. The reversal of 312125534110205 is 502011435521213.

It can be written as a sum of positive squares in 16 ways, for example, as 208706620809124 + 103418913301081 = 14446682^2 + 10169509^2 .

It is not a de Polignac number, because 312125534110205 - 2²⁴ = 312125517332989 is a prime.

It is a super-2 number, since 2×312125534110205² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233845925 + ... + 235176885.

It is an arithmetic number, because the mean of its divisors is an integer number (11930114488455).

Almost surely, 2^{312125534110205} is an apocalyptic number.

It is an amenable number.

312125534110205 is a deficient number, since it is larger than the sum of its proper divisors (69638129520355).

312125534110205 is a wasteful number, since it uses less digits than its factorization.

312125534110205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334561.

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 312125534110205 its reverse (502011435521213), we get a palindrome (814136969631418).

The spelling of 312125534110205 in words is "three hundred twelve trillion, one hundred twenty-five billion, five hundred thirty-four million, one hundred ten thousand, two hundred five".