312403340432300 has 144 divisors (see below), whose sum is σ = 741234264637440. Its totient is φ = 113591438588160.

The previous prime is 312403340432291. The next prime is 312403340432303. The reversal of 312403340432300 is 3234043304213.

It is a super-2 number, since 2×312403340432300² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312403340432303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35362949 + ... + 43305251.

Almost surely, 2^{312403340432300} 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 312403340432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370617132318720).

312403340432300 is an abundant number, since it is smaller than the sum of its proper divisors (428830924205140).

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

312403340432300 is a wasteful number, since it uses less digits than its factorization.

312403340432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942792 (or 7942785 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 312403340432300 its reverse (3234043304213), we get a palindrome (315637383736513).

The spelling of 312403340432300 in words is "three hundred twelve trillion, four hundred three billion, three hundred forty million, four hundred thirty-two thousand, three hundred".