312001130333040 has 80 divisors (see below), whose sum is σ = 967861019406336. Its totient is φ = 83143740960000.

The previous prime is 312001130333027. The next prime is 312001130333161. The reversal of 312001130333040 is 40333031100213.

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 2×312001130333040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 312001130333040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441524836 + ... + 442230915.

Almost surely, 2^{312001130333040} is an apocalyptic number.

312001130333040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312001130333040 is an abundant number, since it is smaller than the sum of its proper divisors (655859889073296).

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

312001130333040 is a wasteful number, since it uses less digits than its factorization.

312001130333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883757238 (or 883757232 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312001130333040 its reverse (40333031100213), we get a palindrome (352334161433253).

The spelling of 312001130333040 in words is "three hundred twelve trillion, one billion, one hundred thirty million, three hundred thirty-three thousand, forty".