312000340120441 has 24 divisors (see below), whose sum is σ = 373243034401920. Its totient is φ = 259930857225312.

The previous prime is 312000340120393. The next prime is 312000340120451. The reversal of 312000340120441 is 144021043000213.

It is a de Polignac number, because none of the positive numbers 2^k-312000340120441 is a prime.

It is a super-3 number, since 3×312000340120441³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312000340120451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561118161 + ... + 561673918.

It is an arithmetic number, because the mean of its divisors is an integer number (15551793100080).

Almost surely, 2^{312000340120441} is an apocalyptic number.

It is an amenable number.

312000340120441 is a deficient number, since it is larger than the sum of its proper divisors (61242694281479).

312000340120441 is a wasteful number, since it uses less digits than its factorization.

312000340120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122792253 (or 1122792246 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 312000340120441 its reverse (144021043000213), we get a palindrome (456021383120654).

The spelling of 312000340120441 in words is "three hundred twelve trillion, three hundred forty million, one hundred twenty thousand, four hundred forty-one".