312141420213040 has 80 divisors (see below), whose sum is σ = 792136540659456. Its totient is φ = 113443979155200.

The previous prime is 312141420212953. The next prime is 312141420213041. The reversal of 312141420213040 is 40312024141213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×312141420213040² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312141420213041) 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 15 ways as a sum of consecutive naturals, for example, 95250042 + ... + 98472601.

Almost surely, 2^{312141420213040} is an apocalyptic number.

It is an amenable number.

312141420213040 is an abundant number, since it is smaller than the sum of its proper divisors (479995120446416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312141420213040 is a wasteful number, since it uses less digits than its factorization.

312141420213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193724498 (or 193724492 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 312141420213040 its reverse (40312024141213), we get a palindrome (352453444354253).

The spelling of 312141420213040 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thirteen thousand, forty".