312300103212432 has 120 divisors (see below), whose sum is σ = 886488041544768. Its totient is φ = 102613971398400.

The previous prime is 312300103212401. The next prime is 312300103212437. The reversal of 312300103212432 is 234212301003213.

312300103212432 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 0 + 0 + 10 + 3 + 212 + 432 = 666.

It is a super-2 number, since 2×312300103212432² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312300103212396 and 312300103212405.

It is not an unprimeable number, because it can be changed into a prime (312300103212437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49914738 + ... + 55821870.

Almost surely, 2^{312300103212432} 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 312300103212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443244020772384).

312300103212432 is an abundant number, since it is smaller than the sum of its proper divisors (574187938332336).

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

312300103212432 is a wasteful number, since it uses less digits than its factorization.

312300103212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912389 (or 5912380 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312300103212432 its reverse (234212301003213), we get a palindrome (546512404215645).

The spelling of 312300103212432 in words is "three hundred twelve trillion, three hundred billion, one hundred three million, two hundred twelve thousand, four hundred thirty-two".