312117940 has 96 divisors (see below), whose sum is σ = 720115200. Its totient is φ = 113218560.

The previous prime is 312117937. The next prime is 312117947. The reversal of 312117940 is 49711213.

It is a junction number, because it is equal to n+sod(n) for n = 312117899 and 312117908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312117947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110600 + ... + 1110880.

It is an arithmetic number, because the mean of its divisors is an integer number (7501200).

Almost surely, 2^312117940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312117940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360057600).

312117940 is an abundant number, since it is smaller than the sum of its proper divisors (407997260).

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

312117940 is a wasteful number, since it uses less digits than its factorization.

312117940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 312117940 is about 17666.8599360498. The cubic root of 312117940 is about 678.3277392634.

The spelling of 312117940 in words is "three hundred twelve million, one hundred seventeen thousand, nine hundred forty".