312010214332240 has 160 divisors (see below), whose sum is σ = 746164620907776. Its totient is φ = 121285892382720.

The previous prime is 312010214332147. The next prime is 312010214332259. The reversal of 312010214332240 is 42233412010213.

It is a junction number, because it is equal to n+sod(n) for n = 312010214332199 and 312010214332208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199608120 + ... + 201165160.

Almost surely, 2^{312010214332240} 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 312010214332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373082310453888).

312010214332240 is an abundant number, since it is smaller than the sum of its proper divisors (434154406575536).

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

312010214332240 is a wasteful number, since it uses less digits than its factorization.

312010214332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557557 (or 1557551 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312010214332240 its reverse (42233412010213), we get a palindrome (354243626342453).

The spelling of 312010214332240 in words is "three hundred twelve trillion, ten billion, two hundred fourteen million, three hundred thirty-two thousand, two hundred forty".