312112225341 has 96 divisors (see below), whose sum is σ = 554157676800. Its totient is φ = 165489730560.

The previous prime is 312112225309. The next prime is 312112225361. The reversal of 312112225341 is 143522211213.

It is a happy number.

312112225341 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 122 + 2 + 534 + 1 = 666.

It is not a de Polignac number, because 312112225341 - 2⁵ = 312112225309 is a prime.

It is a super-2 number, since 2×312112225341² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312112225361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4987675 + ... + 5049863.

It is an arithmetic number, because the mean of its divisors is an integer number (5772475800).

Almost surely, 2^312112225341 is an apocalyptic number.

It is an amenable number.

312112225341 is a deficient number, since it is larger than the sum of its proper divisors (242045451459).

312112225341 is a wasteful number, since it uses less digits than its factorization.

312112225341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62339 (or 62336 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 312112225341 its reverse (143522211213), we get a palindrome (455634436554).

The spelling of 312112225341 in words is "three hundred twelve billion, one hundred twelve million, two hundred twenty-five thousand, three hundred forty-one".