312001230311040 has 256 divisors, whose sum is σ = 1001385309133440. Its totient is φ = 82626341683200.

The previous prime is 312001230311003. The next prime is 312001230311077. The reversal of 312001230311040 is 40113032100213.

It is an interprime number because it is at equal distance from previous prime (312001230311003) and next prime (312001230311077).

It is a junction number, because it is equal to n+sod(n) for n = 312001230310998 and 312001230311016.

It is an unprimeable number.

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, 185925022 + ... + 187595618.

Almost surely, 2^{312001230311040} is an apocalyptic number.

312001230311040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312001230311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500692654566720).

312001230311040 is an abundant number, since it is smaller than the sum of its proper divisors (689384078822400).

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

312001230311040 is a wasteful number, since it uses less digits than its factorization.

312001230311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671291 (or 1671279 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312001230311040 its reverse (40113032100213), we get a palindrome (352114262411253).

The spelling of 312001230311040 in words is "three hundred twelve trillion, one billion, two hundred thirty million, three hundred eleven thousand, forty".