312142423312401 has 32 divisors (see below), whose sum is σ = 467225040623616. Its totient is φ = 183738803352000.

The previous prime is 312142423312351. The next prime is 312142423312403. The reversal of 312142423312401 is 104213324241213.

It is not a de Polignac number, because 312142423312401 - 2¹⁰ = 312142423311377 is a prime.

It is a super-3 number, since 3×312142423312401³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (312142423312403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767935630 + ... + 768341991.

It is an arithmetic number, because the mean of its divisors is an integer number (14600782519488).

Almost surely, 2^{312142423312401} is an apocalyptic number.

It is an amenable number.

312142423312401 is a deficient number, since it is larger than the sum of its proper divisors (155082617311215).

312142423312401 is a wasteful number, since it uses less digits than its factorization.

312142423312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536277813.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 312142423312401 its reverse (104213324241213), we get a palindrome (416355747553614).

The spelling of 312142423312401 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred twenty-three million, three hundred twelve thousand, four hundred one".