312202240432031 has 16 divisors (see below), whose sum is σ = 314090800497408. Its totient is φ = 310316568998400.

The previous prime is 312202240432003. The next prime is 312202240432073. The reversal of 312202240432031 is 130234042202213.

It is a cyclic number.

It is not a de Polignac number, because 312202240432031 - 2³⁰ = 312201166690207 is a prime.

It is a super-3 number, since 3×312202240432031³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312202240431985 and 312202240432003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312202240438031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284497486 + ... + 1284740516.

It is an arithmetic number, because the mean of its divisors is an integer number (19630675031088).

Almost surely, 2^{312202240432031} is an apocalyptic number.

312202240432031 is a deficient number, since it is larger than the sum of its proper divisors (1888560065377).

312202240432031 is a wasteful number, since it uses less digits than its factorization.

312202240432031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248942.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 312202240432031 its reverse (130234042202213), we get a palindrome (442436282634244).

The spelling of 312202240432031 in words is "three hundred twelve trillion, two hundred two billion, two hundred forty million, four hundred thirty-two thousand, thirty-one".