312000401104041 has 32 divisors (see below), whose sum is σ = 463462220632320. Its totient is φ = 185374209081600.

The previous prime is 312000401103973. The next prime is 312000401104103. The reversal of 312000401104041 is 140401104000213.

It is not a de Polignac number, because 312000401104041 - 2¹⁴ = 312000401087657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312000401103999 and 312000401104017.

It is not an unprimeable number, because it can be changed into a prime (312000401104541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35483631 + ... + 43394571.

It is an arithmetic number, because the mean of its divisors is an integer number (14483194394760).

Almost surely, 2^{312000401104041} is an apocalyptic number.

It is an amenable number.

312000401104041 is a deficient number, since it is larger than the sum of its proper divisors (151461819528279).

312000401104041 is a wasteful number, since it uses less digits than its factorization.

312000401104041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7945857.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 312000401104041 its reverse (140401104000213), we get a palindrome (452401505104254).

The spelling of 312000401104041 in words is "three hundred twelve trillion, four hundred one million, one hundred four thousand, forty-one".